{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# <div align='center'>激活函数和导函数</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#####################################################################################\n",
    "# <codecell> global\n",
    "#####################################################################################\n",
    "\n",
    "plt.rcParams['font.sans-serif'] = 'SimHei'\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "plt.rcParams['figure.figsize'] = (16.0, 8.0)\n",
    "plt.rcParams['text.usetex'] = True\n",
    "plt.rcParams['text.latex.preamble'] = [r'\\usepackage{amsmath}']\n",
    "\n",
    "xs = np.arange(-6, 6, 0.01)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "##\n",
    "\n",
    "def display(title, yaxis,\n",
    "        func, ftxt = None, xpos=0, xytext=(0,0),\n",
    "        dfunc=None, dftxt=None, dxpos=None, dxytext=None):\n",
    "\n",
    "    plt.title(title, fontsize='xx-large', fontweight='bold', color='b')\n",
    "    plt.ylim(yaxis)\n",
    "    plt.locator_params('both', nbins=8) # 调整x,y坐标系的刻度划分\n",
    "    plt.xticks(fontsize=14) # 设置坐标刻度字体\n",
    "    plt.yticks(fontsize=14)\n",
    "    plt.axhline(lw=1, c='black') # 轴线设置\n",
    "    plt.axvline(lw=1, c='black')\n",
    "    plt.grid(alpha=0.4, ls='-.')\n",
    "    plt.box(on=None)\n",
    "    plt.plot(xs, func(xs), c='r', lw=3)\n",
    "\n",
    "    if ftxt:\n",
    "        plt.annotate(ftxt, xy=(xpos, func(xpos)), xytext=xytext,\n",
    "                textcoords='data', fontsize=16,\n",
    "                arrowprops=dict(width=1, headwidth=6, headlength=8,\n",
    "                    facecolor='r', shrink=0.05))\n",
    "    if dfunc:\n",
    "        plt.plot(xs, dfunc(xs), c='g', lw=3)\n",
    "        plt.annotate(dftxt, xy=(dxpos, dfunc(dxpos)), xytext=dxytext,\n",
    "                textcoords='data', fontsize=16,\n",
    "                arrowprops=dict(width=1, headwidth=6, headlength=8,\n",
    "                    facecolor='g', shrink=0.05))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#####################################################################################\n",
    "# <codecell> Binary step (二元阶跃)\n",
    "#####################################################################################\n",
    "\n",
    "func = np.vectorize(lambda x: 1 if x > 0 else 0, otypes=[np.float])\n",
    "dfunc = np.vectorize(lambda x: 0, otypes=[np.float])\n",
    "\n",
    "text  = r\"$ f(x) = \\left\\{\\begin{array}{ccc}\"\n",
    "text += r\" 0 & for & x\\leq 0 \\\\ \"\n",
    "text += r\" 1 & for & x> 0 \"\n",
    "text += r\"\\end{array}\\right. $\"\n",
    "\n",
    "dtext  = r\"$ f(x)' = \\left\\{\\begin{array}{ccc}\"\n",
    "dtext += r\"0 & for & x \\neq 0 \\\\ \"\n",
    "dtext += r\"? & for & x = 0 \"\n",
    "dtext += r\"\\end{array}\\right. $\"\n",
    "\n",
    "display('binary step', (-0.1, 1.6),\n",
    "        func, text, 2, (2.2, 0.5),\n",
    "        dfunc, dtext, 0, (-3.5, 0.5)\n",
    "        )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#####################################################################################\n",
    "# <codecell> Piecewise Linear (线性分段)\n",
    "#####################################################################################\n",
    "\n",
    "xmin = -3.5\n",
    "xmax = 3.5\n",
    "w = 1/(xmax - xmin)\n",
    "b = xmax*w\n",
    "\n",
    "func = np.vectorize(lambda x: 1 if x > xmax else 0 if x < xmin else w*x+b,\n",
    "        otypes=[np.float])\n",
    "dfunc = np.vectorize(lambda x: 0 if x > xmax or x < xmin else w, otypes=[np.float])\n",
    "\n",
    "text  = r\"$ f(x) = \\left\\{\\begin{matrix}\"\n",
    "text += r\"0 & for & x < x_{min} \\\\ \"\n",
    "text += r\"wx + b & for & x_{min} \\leq x \\leq x_{max} \\\\ \"\n",
    "text += r\"1 & for & x > x_{max}\"\n",
    "text += r\"\\end{matrix}\\right. \\\\ \\\\ \\\\ \\\\\"\n",
    "text += r\"w=%.2f; b=%.2f; x_{min}=%.2f; x_{max}=%.2f $\" % (w, b, xmin, xmax)\n",
    "\n",
    "dtext  = r\"$ f(x)' = \\left\\{\\begin{matrix}\"\n",
    "dtext += r\"0 & for & x < x_{min} \\\\ \"\n",
    "dtext += r\"m & for & x_{min} \\leq x \\leq x_{max} \\\\ \"\n",
    "dtext += r\"0 & for & x > x_{max}\"\n",
    "dtext += r\"\\end{matrix}\\right. $\"\n",
    "\n",
    "display('piecewise linear', (-0.1, 1.6),\n",
    "        func, text, -0.3, (-5.0, 1.0),\n",
    "        dfunc, dtext, 2, (2.2, 0.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#####################################################################################\n",
    "# <codecell> Bipolar\n",
    "#####################################################################################\n",
    "\n",
    "func = np.vectorize(lambda x: 1 if x > 0 else -1, otypes=[np.float])\n",
    "dfunc = np.vectorize(lambda x: 0, otypes=[np.float])\n",
    "\n",
    "text  = r\"$ f(x) = \\left\\{\\begin{matrix}\"\n",
    "text += r\"-1 & for & x \\leq 0 \\\\ \"\n",
    "text += r\"1 & for & x > 0 \"\n",
    "text += r\"\\end{matrix}\\right. $\"\n",
    "\n",
    "dtext  = r\"$ f(x)' = \\left\\{\\begin{matrix}\"\n",
    "dtext += r\"0 & for & x \\neq 0 \\\\ \"\n",
    "dtext += r\"? & for & x = 0 \"\n",
    "dtext += r\"\\end{matrix}\\right. $\"\n",
    "\n",
    "display('bipolar', (-1.5, 1.5),\n",
    "        func, text, 1, (2, 0.5),\n",
    "        dfunc, dtext, 0, (-4, 0.5)\n",
    "        )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#####################################################################################\n",
    "# <codecell> Sigmoid\n",
    "#####################################################################################\n",
    "\n",
    "def sigmoid_func(x):\n",
    "    return 1 / (1 + np.exp(-x))\n",
    "\n",
    "def sigmoid_dfunc(x):\n",
    "    fx = sigmoid_func(x)\n",
    "    return fx * (1 - fx)\n",
    "\n",
    "text = r\"$ f(x) = \\dfrac{1}{1 + e^{-x}} $\"\n",
    "dtext = r\"$ f(x)' = f(x) * (1-f(x)) $\"\n",
    "\n",
    "display('sigmiod', (-0.2, 1.2),\n",
    "        sigmoid_func, text, 1, (2, 0.5),\n",
    "        sigmoid_dfunc, dtext, -1, (-5, 0.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#####################################################################################\n",
    "# <codecell> Bipolar Sigmoid\n",
    "#####################################################################################\n",
    "\n",
    "def bisigmoid_func(x):\n",
    "    return (1 - np.exp(-x)) / (1 + np.exp(-x))\n",
    "\n",
    "def bisigmoid_dfunc(x):\n",
    "    return 2 * np.exp(x) / ((np.exp(x) + 1) ** 2)\n",
    "\n",
    "text = r\"$ f(x) = \\dfrac{1-e^{-x}}{1+e^{-x}} $\"\n",
    "dtext = r\"$ f(x)' = \\dfrac{2e^x}{(e^x + 1)^2} $\"\n",
    "\n",
    "display('bipolar sigmiod', (-1.2, 1.2),\n",
    "        bisigmoid_func, text, 0.2, (1, -0.5),\n",
    "        bisigmoid_dfunc, dtext, -3, (-4, 0.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#####################################################################################\n",
    "# <codecell> Hyperbolic Tangent, TanH (双曲正切)\n",
    "#####################################################################################\n",
    "\n",
    "def tanh_func(x):\n",
    "    return 2 / (1 + np.exp(-2 * x)) - 1\n",
    "\n",
    "def tanh_dfunc(x):\n",
    "    fx = tanh_func(x)\n",
    "    return 1 - fx ** 2\n",
    "\n",
    "text = r\"$ f(x) = \\dfrac{2}{1 + e^{-2x}} - 1 $\"\n",
    "dtext = r\"$ f(x)' = 1 - f(x)^2 $\"\n",
    "\n",
    "display('hyperbolic tangent', (-1.2, 1.2),\n",
    "        tanh_func, text, 0.2, (1, -0.5),\n",
    "        tanh_dfunc, dtext, -1.0, (-4, 0.6))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#####################################################################################\n",
    "# <codecell> Arctangent, Arctan\n",
    "#####################################################################################\n",
    "\n",
    "def arctan_func(x):\n",
    "    return np.arctan(x)\n",
    "\n",
    "def arctan_dfunc(x):\n",
    "    return 1 / (1 + x ** 2)\n",
    "\n",
    "text = r\"$ f(x) = tan^{-1}x $\"\n",
    "dtext = r\"$ f(x)' = \\dfrac{1}{1+x^2} $\"\n",
    "\n",
    "display('arctangent', (-1.5, 1.5),\n",
    "        arctan_func, text, 0.2, (1, -0.5),\n",
    "        arctan_dfunc, dtext, -1.0, (-4, 1.2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#####################################################################################\n",
    "# <codecell> Rectified Linear Units, ReLU\n",
    "#####################################################################################\n",
    "\n",
    "relu_func = np.vectorize(lambda x: x if x > 0 else 0, otypes=[np.float])\n",
    "\n",
    "relu_dfunc = np.vectorize(lambda x: 1 if x > 0 else 0, otypes=[np.float])\n",
    "\n",
    "text  = r\"$ f(x) = \\left\\{\\begin{matrix}\"\n",
    "text += r\"0 & for & x \\leq 0 \\\\ \"\n",
    "text += r\"x & for & x > 0 \"\n",
    "text += r\"\\end{matrix}\\right. $\"\n",
    "\n",
    "dtext  = r\"$ f(x)' = \\left\\{\\begin{matrix}\"\n",
    "dtext += r\"0 & for & x \\leq 0 \\\\ \"\n",
    "dtext += r\"1 & for & x > 0 \"\n",
    "dtext += r\"\\end{matrix}\\right. $\"\n",
    "\n",
    "display('relu', (-0.5, 1.5),\n",
    "        relu_func, text, 0.6, (1.8, 0.5),\n",
    "        relu_dfunc, dtext, -2.0, (-3.2, 0.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#####################################################################################\n",
    "# <codecell> Leaky Rectified Linear Units, Leaky ReLU\n",
    "#####################################################################################\n",
    "\n",
    "a = 0.1\n",
    "\n",
    "lrelu_func = np.vectorize(lambda x: x if x > 0 else a*x, otypes=[np.float])\n",
    "\n",
    "lrelu_dfunc = np.vectorize(lambda x: 1 if x > 0 else a, otypes=[np.float])\n",
    "\n",
    "text  = r\"$ f(x) = \\left\\{\\begin{matrix}\"\n",
    "text += r\"ax & for & x \\leq 0 \\\\ \"\n",
    "text += r\"x & for & x > 0 \"\n",
    "text += r\"\\end{matrix}\\right. \\\\ \\\\ \\\\\"\n",
    "text += r\"a=%.2f $\" % a\n",
    "\n",
    "dtext  = r\"$f(x)' = \\left\\{\\begin{matrix}\"\n",
    "dtext += r\"a & for & x \\leq 0 \\\\ \"\n",
    "dtext += r\"1 & for & x > 0 \"\n",
    "dtext += r\"\\end{matrix}\\right. $\"\n",
    "\n",
    "display('leaky relu', (-0.5, 1.5),\n",
    "        lrelu_func, text, 0.6, (1.8, 0.5),\n",
    "        lrelu_dfunc, dtext, -2.0, (-3.2, 0.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA7gAAAHmCAYAAABZIiL1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJzs3XucHNV55//PoxuSuI2EEcgGCwaMbXwhjIQxgbAympFtbFyyI0XOZpP451hSEq+zv9zQ2tmNouwrIUPyI/Zms7vI2XgdJ1lj8XNUYOMYiYsxMTYgYRxsfNPYGGwMhmEwQgLdzv5RpzU1NV010zM9daqrv+/XSy91V9VUP9Pz9Ol++pw6x5xziIiIiIiIiHS6WaEDEBEREREREWkHFbgiIiIiIiJSCypwRUREREREpBZU4IqIiIiIiEgtqMAVERERERGRWlCBKyIi0kHM2GnGYOg4REREqkgFroiIiIiIiNSCClwRERERERGpBRW4IiIiIiIiUgsqcEVERERERKQWVOCKiIhUkBnXm/GMGXvNWFtw3E4zrk/d7zfDlROliIhItcwJHYCIiIiMZcZOYDGwCugFtptxjnMMhY1MRESk2tSDKyIiUiFm9AH9wDrn2OMcNwLbgE1hIxMREak+9eCKiIhUywr//16zMdtvLD8UERGRzqICV0REpHqGnOOc0EGIiIh0Gg1RFhERqZZdQK8ZvVP8+Z52BiMiItJJ1IMrIiJSIc4xZMaNJBNLbQBGgLXAKc6xucmPjAArfEHcAwyWF62IiEi1qAdXRESkYpxjHUlP7m3AbmAARpcCyrieZKbl3cAHoWkRLCIi0hXMOS2VJyIiIiIiIp2v7T24ZrZzEscMmpkzs2fMbKeZ9ab29ZrZ1WbW7//XtUQiIiIiIiIyobZdg2tm/SRDpPoncfh9zjnL2bfdObfcn/N+4KPAuvZEKSIiIiIiInXVth5c59wu59w2kskupsTM+oDh1DlHmFzBLCIiIiIiIl0u1CRTvWa21g9DHkwNQ+5lfIE8nB7CLCIiIiIiItJMqGWCtvneWcxsGNhOMkPk4pzjdR2uiIiIiIiIFApS4DaKW397j79+F5LhydlitmnRa2YbgY0Avb29N1133XUPZQ55BPg6cCHwFWBNk9PcArwG+C5wJnBeZv9e/+984AHgqibnuNk/xjeAc/y/tG8Dj5IMtf4scGWTc+wALvaP8RpgWWb/w8ATPsa9wOrM/qNRFO2I4/gykt/1QuCMzDEPkfSOL/HxrMrsPxRF0c1xHK8E7vLxLM0c8yCwn+Rv9ASwMrP/hSiKbonj+Iooim738SzJHLMbOAIs9PFcltm/L4qiW1PnWMn4HLgXmE2Sv/uBSzL7n42i6LY4jt8URdEdcRyvAk7OHHOPj+Gwj+cNmf3DURTdmYpjNXBC5pi7/XOx38ezPLP/ySiK7k6d40pgfuaYO338e3w8F2T2P07yN73cx3MVMDdzzG0kufGkj+e1mf2PkeTWxT6eNYwfvXErSe4+CpwGvDqzv2qvp3N9PN3wenpPFEX/W6+nSb+eTvPPRe1fT2vWrPnqjh07Grmu11PA96cz7rzzpcs//OG/AnDwwt3XXLNi+NWvHibc6+kJ4Cfo9dSg96dRh0ieh9Oo6OspRe9PY5XxejKSeqWSr6coij7d5FzjtH2ZIDN7xjm3qGB/H/DRxkRSfptzzpnfN+icG5js+TpFHMfvmuwfRbqLckOKKD8kT+O9M3QcAphdDQz6eztw7p0hw1G7IUWUH5KnLrlRyjW4fumfRs/sEKnF6n3v7Y2Q9OaS+vbGX3u7q4wYRURERKYo3cuxI1gUIiLS1mWC+kiG4faY2SCw0znXKE4HgZ34a2/NbMgPMYakS3pD6lQbLPkmdA/Ql9nXyfSGJ3mUG1JE+SFSZWanA2/0946SDO8LTe2GFFF+SJ5a5EbbClzf+7oHuLbJvnWZ+7m9sqnzQL16by8muQ5AJEu5IUWUHyLVdhXJdWsAX8S5p0IG46ndkCLKD8lTi9wItUxQN3ogdABSWcoNKaL8EKm2Kg5PVrshRZQfkqcWuaECtzyvCR2AVJZyQ4ooP0SqyuxEksuzGuJQoWSo3ZAiyg/JU4vcUIFbnuxU8CINyg0povwQqa43A/P87a/h3PdCBpOidkOKKD8kTy1yQwWuiIiIyNRUcXiyiEhXU4ErIiIi0iqzucDbUluqMjxZRKSrqcAVERERad3lQI+//Sg1mZxFRKTTqcAtz8OhA5DKUm5IEeWHSDWNHZ7snAsWyXhqN6SI8kPy1CI3VOCW54nQAUhlKTekiPJDpGrMjGpff6t2Q4ooPyRPLXJDBW55zgwdgFSWckOKKD9EqqcPOMPfHgG+GDCWZtRuSBHlh+SpRW6owC3P3tABSGUpN6SI8kOkeqLU7c/g3KFgkTSndkOKKD8kTy1yQwVueVaHDkAqS7khRZQfItVT5eHJoHZDiik/JE8tckMFroiIiMhkmfUCr/P3XgQ+HzAaERHJUIErIiIiMnnp4cm7cG5fsEhERGQcFbgiIiIik1f14ckiIl1NBW55joYOQCpLuSFFlB8iVWH2EuAyf88BNweMpojaDSmi/JA8tcgNq9a65CIiIjIZZuaccxY6jq5i9h7gY/7el3Du0oDRiIhIE+rBLUkcx5dNfJR0I+WGFFF+iFRKRwxPVrshRZQfkqcuuaECtzxfCR2AVJZyQ4ooP0SqwGwhY5fQqGyBi9oNKab8kDy1yA0VuOW5MHQAUlnKDSmi/BCphtXAAn/7YZz7TshgJqB2Q4ooPyRPLXJDBW55zggdgFSWckOKKD9EqiG9PFCVe29B7YYUU35InlrkhgpcERERkSJmc4CrUluqXuCKiHQtFbgiIiIixS4FTvG3HwfuDxiLiIgUUIErIiIiUiw9PDnGuVqsFSkiUkcqcMvzUOgApLKUG1JE+SESkpnRIcsDpajdkCLKD8lTi9xQgVuekdABSGUpN6SI8kMkrNcBZ/vbzwF3hgtl0tRuSBHlh+SpRW6owC3PktABSGUpN6SI8kMkrPTw5Ftw7sVgkUye2g0povyQPLXIDRW45Xk0dABSWcoNKaL8EAmr04Yng9oNKab8kDy1yA0VuOVZFToAqSzlhhRRfoiEYvZyoM/fOwR8LmA0rVC7IUWUH5KnFrmhAldERESkuXekbt+Bc88Gi0RERCZFBa6IiIhIc504PFlEpKupwBURERHJMlsErExtuSlQJCIi0gIVuOU5FDoAqSzlhhRRfoiE8TZgtr99H879MGQwLVK7IUWUH5KnFrlhzrnQMYiIiEiLzMw55yx0HLVlth1Y6+/9Ac79achwRERkctSDW5I4jleGjkGqSbkhRZQfIgGYzQfemtrSUdffqt2QIsoPyVOX3FCBW567QgcglaXckCLKD5HyrQKO97e/CzwcMJapULshRZQfkqcWuaECtzwXhw5AKku5IUWUHyLli1K3d9B513Op3ZAiyg/JU4vcUIFbnqWhA5DKUm5IEeWHSJnMZpMtcDuP2g0povyQPLXIDRW4IiIiIqMuBpb4208CXw4Yi4iItEgFroiIiMiodO/tzTh3JFgkIiLSMhW4IiIiIgBmBrwztaUThyeLiHQ1FbjleTB0AFJZyg0povwQKc+rgFf4288DtwWMZTrUbkgR5YfkqUVuqMAtz/7QAUhlKTekiPJDpDxrUrc/j3MHgkUyPWo3pIjyQ/LUIjdU4JanJ3QAUlnKDSmi/BApT6fPntygdkOKKD8kTy1yQwVueZ4IHYBUlnJDiig/RMpg9lJG14A8Anw2YDTTpXZDiig/JE8tckMFbnlWhg5AKmtl6ACk0laGDkCkS7wjdfsunBsOFsn0rQwdgFTaytABSGWtDB1AO7S9wDWznZM4ps/MNprZ1Wa23cx6U/sGzcyZ2TNmtjO9T0RERGSG1GV4sohIV5vTrhOZWT/QC/RPcFwPsMI5ty31czuBc/wh9znnrF1xiYiIiBQyOwlYldoShwpFRESmp209uM65Xb5oHZng0F5gc+r+/UCvL3xFREREyvZWYK6//QDOPRIyGBERmbrSr8F1zu0Blqc2rQBGnHONwrjXzNaaWb8frlyXwveF0AFIZSk3pIjyQ2TmpYcn16H3Vu2GFFF+SJ5a5Ebbhii3IlXMAmwCNqTub2vsN7NhYDswkD2HmW0ENgL09vbedN111z2UOeQR4OvAhcBXGLu2XcMtwGuA7wJnAudl9u/1/84HHgCuanKOm/1jfINkmPU5mf3fBh4FnojjeD5wZZNz7CCZufEBH8+yzP6HSWY1O9PHszqz/2gURTviOL7M/64XAmdkjnmIpHd9iY9nVWb/oSiKbo7jeCVwl49naeaYB0nWx+rx8azM7H8hiqJb4ji+Ioqi2308SzLH7CaZnXKhj+eyzP59URTdmjrHSmBx5ph7gdkk+bsfuCSz/9koim6L4/hNURTdEcfxKuDkzDH3+BgO+3jekNk/HEXRnak4VgMnZI652z8X+308yzP7n4yi6O7UOa4E5meOuRP4XhzHS308F2T2P07yN73cx3MVo70MDbeR5MaTPp7XZvY/RpJbF/t41jD+y61bSXL3UeA04NWZ/VV7PZ3r46n96wn/ZqPX06RfT6f556IbXk/EcfwG9HqCabw/zX3uuTlvmT07mnXkCADfHxh44ME4XkKHv57iOD4PvZ4a9P40Sp/3xtL701iP+Hqlkq+nKIo+3eRc45hzbjLHTZqZPeOcWzTJYzcCw865GwuOcXW4JreR9KHjkOpRbkgR5Yfkqcv7Y3Bmq4HP+3vfB3pp94ejkqndkCLKD8lTl9wIVuD6yaVwzu1KbesDPuqcW57apjdwERGRDL0/tonZfwd+w9/7CM79vyHDERGR6SnlGlwzGzOJlC9khxvFrZmt9buGgOtTx/UDub27ncQP3xAZR7khRZQfIjPIbBZj17+txfJAajekiPJD8tQlN9q5TFAfyRJBPWY2COxM9c4OkiwFtM2va3ubP67x40PAjc65ETMb8kOXIRmPnb4+t5Nlr00QaVBuSBHlh8jMWQ68zN8eJrnWrg7UbkgR5YfkqUVutK3A9bMj7wGubbJvXer2EJA7hDk9ZFlERERkBqUnUPkMzh0OFomIiLRF6csEiYiIiFREenmgWgxPFhHpdipwRUREpPuYvYJkqQtIluO6NWA0IiLSJipwy7M7dABSWcoNKaL8EJkZ6d7bW3Hu+WCRtJ/aDSmi/JA8tcgNFbjlORI6AKks5YYUUX6IzIx0gRsHi2JmqN2QIsoPyVOL3FCBW56FoQOQylJuSBHlh0i7mS0BLvX3jgI3B4xmJqjdkCLKD8lTi9xQgVuekdABSGUpN6SI8kOk/a4CGmsV/gvO/SRkMDNA7YYUUX5Inlrkhgrc8tRi4WSZEcoNKaL8EGm/Og9PBrUbUkz5IXlqkRsqcEVERKR7mJ0ArE5tqWOBKyLStVTgioiISDdZDRznbz+Ec98NGYyIiLSXClwRERHpJmtSt9V7KyJSMypwy7MvdABSWcoNKaL8EGkXsznA21NbdoQKZYap3ZAiyg/JU4vcMOdc6BhERESkRWbmnHM28ZFyjNmbgNv9vR8CZ6IPQiIitaIe3JLEcXxF6BikmpQbUkT5IdJW6eHJO+pa3KrdkCLKD8lTl9xQD66IiEgHUg9ui8wM+B6wzG9ZjXM7A0YkIiIzQD24JYnjeGXoGKSalBtSRPkh0jYXMFrcPgt8IWAsM0rthhRRfkieuuSGCtzyLA4dgFSWckOKKD9E2iM9PPmzOHcwWCQzT+2GFFF+SJ5a5IYKXBEREekGUeq2lgcSEakpFbgiIiJSb2ZnAT/j7x0E/jlYLCIiMqNU4IqIiEjdpXtvb8O5nwaLREREZpQK3PLcGzoAqSzlhhRRfohMX/r6224Ynqx2Q4ooPyRPLXJDBW55ZocOQCpLuSFFlB8i02F2CvBzqS03hQqlRGo3pIjyQ/LUIjdU4JZnTugApLKUG1JE+SEyPW9j9EPbl3Hu8ZDBlETthhRRfkieWuSGCtzy7A8dgFSWckOKKD9Epic9PHlHsCjKpXZDiig/JE8tckMFbnkuCR2AVJZyQ4ooP0SmymwB8ObUlm64/hbUbkgx5YfkqUVuqMAVERGRuuoHFvrb38K5b4YMRkREZp4KXBEREamrbhyeLCLS1VTgioiISP2YzQauSm3pluHJIiJdTQVueZ4NHYBUlnJDiig/RKbmEuBUf/sJ4CsBYymb2g0povyQPLXIDXPOhY5BREREWmRmzjlnoeOoLLO/AH7X39uGc5tChiMiIuVQD25J4jh+U+gYpJqUG1JE+SEyBWbG2Otvu2p4stoNKaL8kDx1yQ314IqIiHQg9eAWMHsN8JC/tw84FedeCBiRiIiURD24JYnjeFXoGKSalBtSRPkhMiXp3tvPdVtxq3ZDiig/JE9dckMFbnlODh2AVJZyQ4ooP0Ra1+3LA6ndkCLKD8lTi9xQgSsiIiL1YXYGsMLfOwzcEjAaEREpmQpcERERqZN3pG7fiXMjwSIREZHSqcAVERGROun24ckiIl1NBW557gkdgFSWckOKKD9EJsusB0gvc3FTqFACU7shRZQfkqcWuaECtzwLQwcglaXckCLKD5HJeyswx9/ejXOPhgwmILUbUkT5IXlqkRsqcMtzOHQAUlnKDSmi/BCZPA1PTqjdkCLKD8lTi9xQgVueI6EDkMpSbkgR5YfIZJgdR9KD2xCHCqUC1G5IEeWH5KlFbqjALc8bQgcglaXckCLKD5HJeRNwor89BDwUMJbQ1G5IEeWH5KlFbqjAFRERkToYOzzZORcsEhERCUYFroiIiHQ2s1lAlNrSzdffioh0NRW4IiIi0ukuAk73t58CvhQwFhERCajtBa6Z7ZzEMb1mdrWZ9fv/eyazr8MNhw5AKku5IUWUHyITSw9PvhnnajFRyjSo3ZAiyg/JU4vcsHZdomJm/UAvcL1zziY4drdzbrm/3QN81Dm3bqJ9IiIikjAzN9H7bdcwexh4lb8X4dxNIcMREZFw2taD65zb5ZzbBowUHWdmfaS+HXDOjQD9E+3rdHEcXxE6Bqkm5YYUUX6ITMDslYwWtweAXQGjqQS1G1JE+SF56pIbbevBPXZCs2ecc4sK9q8F1qd7Zc1sLzAA9OXtc84NtTVQERGRDmVbrY/vs5uz2Bs6ltAWHaBn8QFOAdg/l+cfP5Efh45JRKSDXeC2uOdDBzEdcwI85uKc7T0T7OtocRyvjqLo1tBxSPUoN6SI8kNy/CfOAuCcsGGE98yC5J93PHpORESmo+MvfQlR4A4zvmBdPIl9Y5jZRmAjQG9v703XXXdddkH3R4CvAxcCX2HsBBQNtwCvAb4LnAmcl9m/1/87H3gAuKrJOW72j/ENkjfV7Bvrt4FHgdfHcXwXcGWTc+wALvaP8RpgWWb/w8ATPsa9wOrM/qNRFO2I4/gy/7teCJyROeYhkuHjS3w8qzL7D0VRdHMcxyuBu3w8SzPHPAjsJ/kbPQGszOx/IYqiW+I4viKKott9PEsyx+wGjgALfTyXZfbvi6Lo1tQ5VjI+B+4FZpPk737gksz+Z6Moui2O4zdFUXRHHMergJMzx9zjYzjs48kubD0cRdGdqThWAydkjrnbPxf7fTzLM/ufjKLo7tQ5rgTmZ465E3hlHMf/6uO5ILP/cZK/6eU+nquAuZljbiPJjSd9PK/N7H+MJLcu9vGsYfzlCbeS5O6jwGnAqzP7q/Z6OtfHU/vXE/BG4Fa9nib9ejrNPxe1fj0tmLXg7ANHDzT5MRERkanrX9x/XBzHr6OCn/eiKPr0ZH6HEEOU+4BB59xA9meK9rU1yADiOH7XZP8o0l2UG1JE+SHN2Fb7EqNfRryb5MuOrvOZf+AXXvk0fwKwfw73XvCb/FLomKrg95b93uq/eOQvNPJDmlJ+SB6fG//TbXFHQ8cyHaX04JpZLzDsnBtxzu0xs8WZfbsAivaJiIjIMekhZI+6Le67wSIJ6Y/s0tS9/9O1z0NGHMev//P3/LmeC2lK+SF5fG50dHELbSxwfe9rP9BjZoPATudcozgdBHYC2/z9DWZ2NbCHZGKpDalTFe0TERGRscOiO/7DyJSYncjYlRbiUKGIiEh1tK3Adc7tISlKr22yb13OsZDpoS3a1+HuDh2AVJZyQ4ooP6SZdA9udxa48GZgnr/9NZz7XshgKkbthhRRfkieWuRG29bBlQl1/EzQMmOUG1JE+SHNpN+/2zuZRudIT36yI1gU1aR2Q4ooPyRPLXJDBW559ocOQCpLuSFFlB/STHcPUTabC7wttUUF7lhqN6SI8kPy1CI3VOCWZ3boAKSylBtSRPkhzaSHKHdjD+7ljPY0/AD4asBYqkjthhRRfkieWuSGCtzyZNd0FGlQbkgR5Yc00909uGOHJ8e0e83Dzqd2Q4ooPyRPLXJDBa6IiEjn6d5JpswMiFJbNDxZRESOUYErIiLSebp5kqkLgTP97RHgiwFjERGRilGBKyIi0nm6eYhyenjyZ3DuULBIRESkclTglufJ0AFIZSk3pIjyQ5rp5kmmtDzQxNRuSBHlh+SpRW6Y5mUQERHpLLbVvgWc5+++2m1x3wwZT2nMeoG9/t6LwEtwbl/AiEREpGLUg1uSOI6vCB2DVJNyQ4ooPyRHt04ylZ5capeK2+bUbkgR5YfkqUtuqAdXRESkw9hW+y5wjr97ntvivhMyntKYfYFkDVyADTj3NyHDERGR6lEPbkniOL4ydAxSTcoNKaL8kBzdN8mU2UuAy/w9B9wcMJpKU7shRZQfkqcuuaECtzzzQwcglaXckCLKD2mmGyeZejujn1vuwbknQgZTcWo3pIjyQ/LUIjdU4IqIiHSe7uvB1ezJIiIyCSpwRUREOk93TTJlthBYndqiAldERJpSgSsiItJ50u/f3TBEeQBY4G8/jOuSSbVERKRlKnDLc2foAKSy7gwdgFTanaEDkErqrh5cDU9u1Z2hA5BKuzN0AFJZd4YOoB1U4JbntNABSGUpN6SI8kOa6Z4eXLM5wFWpLSpwJ6Z2Q4ooPyRPLXJDBW55RkIHIJWl3JAiyg9pppsmmfpZ4BR/+0fA/QFj6RRqN6SI8kPy1CI3VOCWZ2HoAKSylBtSRPkhzXTTEOX08OSbcK7uv287qN2QIsoPyVOL3FCBW54LQgcglaXckCLKD2mmO4Yomxm6/nYq1G5IEeWH5KlFbqjAFRER6Tzd0oP7OuBsf/unwB0BYxERkQ6gAldERKTzdEcPLkSp25/DuYPBIhERkY6gAldERKTzdMskUxqeLCIiLVGBW57HQwcglaXckCLKD2mm/kOUzV4O9Pl7h4DPBYym06jdkCLKD8lTi9xQgVuer4QOQCpLuSFFlB/STDcMUX5H6vYdOPdssEg6j9oNKaL8kDy1yA0VuOW5PHQAUlnKDSmi/JBm6t+Dq+HJ06F2Q4ooPyRPLXLDnKvrF78iIiL1ZFvtADDf3z3ebXH7Q8bTdmaLgJ8As/2WM3DuhwEjEhGRDqEe3JLEcXxV6BikmpQbUkT5ITnqPsnUlYwWt/epuG2N2g0povyQPHXJDRW45ZkbOgCpLOWGFFF+SDPpIcp1HIql4cnTo3ZDiig/JE8tckMFroiISOepbw+u2XzgraktKnBFRGTSVOCKiIh0njpPMrUKON7f/g7wcMBYRESkw6jAFRER6Tx1XiYoSt2O0WyYIiLSAhW45bktdABSWcoNKaL8kDFsq1lmU30KQLPZjC1wNTx5atRuSBHlh+SpRW6owC3PmaEDkMpSbkgR5YdkjSlw3ZZa9XBeDCzxt58Evhwwlk6mdkOKKD8kTy1yQwVueZ4MHYBUlnJDiig/JKu+E0yN7b29GeeOBIuks6ndkCLKD8lTi9xQgVuentABSGUpN6SI8kOy6jnBlJkB70xt0fDkqVO7IUWUH5KnFrmhArc8rw0dgFSWckOKKD8kq64TTL0KeIW//Tw1uRYsELUbUkT5IXlqkRsqcEWkJWbWY2bbzWxj6FhEulQ9e3DHDk/+PM4dCBaJiIh0LBW4IjJpZtYPPAMMOee2hY5HpEvVtQd3Teq2hieLiMiUzAkdgIh0BjPrA3YCA865XaHjEeli9ZtkyuylJDMoAxwBPhswGhER6WDqwS3PY6EDkMrqlNzYDmxrV3FrZr0zeXyNdEp+SHnqOET5HanbX8C54WCR1IPaDSmi/JA8tcgN9eCW54HQAUhlVT43fHHZS1LktvJzg8DTJEOab8ycrx9oZZhzv5ntcs4NtRJDleQ9HxOofH7kMbOrgSFgMYCGtbdNHYcop6+/jYNFUR8d225IKZQfkqcWuaEe3PJcPPEh0qU6ITcavaeTLi59cbMXGGmye3OrxY4/flMrP1MlEzwfRSqVH36SsUEzu36C4wbxhbz/251jZmvLibL26tWDa3YSsCq1RQXu9FWq3ZDKUX5InlrkhjlXly9/RWSm+MmldgKLnHOTKtDMbCewKdvj6mdfHprKUGd/HXC/c+7aFn6mF+hxzu1p9fHaKe/56BT+edzs7w5O9HuY2TPOuUWp+/0kX2wMzGCYXcG22mKSkQAAI27L6PPckczWA5/09x7Aub6Q4YiISGdraw+umfWa2dVm1u//z10s2MyeMTPn/zVuX+33Daa276zDtXdxHK+Z+CjpRjXOjRU5RdC6qV7H64vUVgukHkZ7oEPKez4Khc4PM+szs+0kveebnXMTFun+i4isYZJh6TJ9dZtkSsOT2yx0uyHVpvyQPHXJjXZfg7vdObccwMzuBz4KrMse5AvfMR9yzWxjasjifc45y/5ch9NwcMlTq9zwPXWbgGH/pdWuRu/pBF96rSW5VvMckt7iXpIZm7NtyIiZ9c5UT2ijlxjYQ1Icb5pOr2PR8+H39wAbSYZ/XwTsbLSNZrZx2bJlP79mzZqvAX0kz09PKz3Y/jyTfW6bxX0fsGGyPffeYpKCNm3En7enxXPJePUZomw2D3hbaouWB2qPWr2vSNspPyRPLXKjbQWu/1B47AONc27Ef0BqKlPcrgW07IhIDTjndvn2YKhJIbaCpHAcw8zWNiZdMrPdwF7n3DYza1ZY3kdxbvLiAAAgAElEQVRS7LW9wPVxDzYKWl+QTqsYK3o+/OiU7cAqX/TdaGbPAIt8+/kp4OeB651zA1O5hrXF57bxMxtJhiMvn2Ix2uyLjMb7w2Km+ZxKrSaZWgmc5G9/H/hasEhERKQW2tmD28v4Dy3DzXpa0h+YfO/F4swxvf6D3AjJcMRr9I2/SEe5CLihyfYeRq8dTEsXvX0khR05PYwj+Fl5Z8BHGb3OFEZ7PKcr7/nYTpP2LVUQj5x44onn4kfCtDDzclorzy1+3zYzGwI+amb3kSwP1Uob3Oxv1Liv5V+mrz49uNnhyZoYREREpqmdBW7eB87cIYneB4FrMtuOfZgys2GSD4Fjeht8D8NGgN7e3puuu+66hzLneAT4OnAh8BWg2ZjyW4DXAN8FzgTOy+zf6/+dTzJt9lVNznGzf4xvkHwYPiez/9vAo0BvHMfzgSubnGMHyaxlD/h4lmX2Pww84WPcC6zO7D8aRdGOOI4v87/rhcAZmWMeIvnQucTHsyqz/1AURTfHcbwSuMvHszRzzIPAfpK/6RMk37ynvRBF0S1xHF8RRdHtPp4lmWN2A0eAhT6eyzL790VRdGvqHCsZn1v3ArNJ8nc/cElm/7NRFN0Wx/Gboii6I47jVcDJmWPu8TEc9vG8IbN/OIqiO1NxrAZOyBxzt38u9vt4lmf2PxlF0d2pc1wJzM8ccyfwsjiOl/p4Lsjsf5zkb3q5j+cqYG7mmNtIcuNJH89rM/sfI8mti308axg/BOVWktx9FDgNeHV65+WXX37aXXfdxTXXXHNRHMe3McHrac6cOW/83d/93dvjOH5Xav/e448/fulpp512ZhzHc0m9nnbs2EEcxz/zy7/8y4/Nnz//m5/85CcPx3F8AU1eTyeddNKCU045Jff1tGbNmjcvWbJkydNPP/30okWLFp1++ulLDx48ePxZZ521AeCnP/3pyP79+w986EMf+psLLrjgq/jX0z333HMa0Ldjx44TAHz+9m/YsOFzmd8DWnw9zZ0795Lf+Z3fGfN8fOITnxj2j/f1OI4XAysfeeSRhUDPRz7ykfOXLVs2DAzt27ev1zm3Z6qvJ+fcrXEcX7FmzZqRhQsXfvsf//Efr4jjMZc5Nn097dixA+D/bN++/dR/+Id/GDzrrLNOeuSRR35jx44dy5ng9fS+973vgr/5m7/pSf2+w8BPIfmCc4ZfT6f556Kyryem+f70x+f88aI/3PuHAMy22XOyr6eUyb4/nevjKfX9yQ4dsrfNm7d+9sGDAPzw0ksfvD+OT0bvT+14fzopjuPz0OupoczPe0FeTykTvj8B6PV0TJmf9zrh9dT4fFXJ11MURZ9ucq5x2jaLsu9xHXOtmh9qt6po9lIz2924brfgGNfp1+TGcXxCFEX7Qsch1TOV3Cj7OsZWZ1HOe836duIi59zmJj/WGBJ8jnNuk78/bgRIY23VyfZm+t7Q3omO97F9MDWPQA/wPefcoule89vs+fDP6WC6/fO/20BqiHT/rFmzPnTkyJErpvrYmXMXPrcT/LxmUa4I22ovI/kgA/Ajt8W9LGQ8U2Z2EckHWEi+BDkN5w4HjKg29JlDiig/JE9dcqOdFxI3/bAzQXHbT2a4mp+xc3cb46qK7DcT0mUKZgNvmht5x/tC7LZ2xdVuvqDMe90PkRnV4V/zg/7uepJvfY8t79PkHKcwM9dwZmPeCNzvb0952ZKC5+N+Ur+fL6jXM3ZivoEzzzzzwek8dovPbS7n3JAvjjcDmyZaBxfYlrlmeACY6Gdkcuoyi3J6ePLNKm7bSp85pIjyQ/LUIjfaVuD6QvbY0AL/ASo9kVRvkxlU+xj/QXWI1IcgXwRP5bqzqnk0dAAy8/wSV1dnJwPyr4e8SdfycqM/p8hdT/PrOatiBTmTxvl2Ivs7LYZjhfs64Bx/uzfnC7K+qS4zVMT3SN5gZhv9499IMmPzRqY3CV7T58P3hG9O5ctGRiebaug9/fTT/24aj93qczsh59yIc25zoye44LjN+PkUfO/x3ileQyzj1WWSqfTQNy0P1F76zCFFlB+Spxa50e5lgjb4DzJ7SIrXDal9gyRDHLelto2Q6fn1sy8P+Q+VkHyTkD5PpzoNTa5Sa40P8Tm7iwqCprnhJ/oZZOykR5AUymW/Jlrp7Rtg/HX1aUPpIda+WE0XgE2HL8OxXs4ZWR7Ix5Kd9Tl3IqYW5D4fExV8zrl1cRxnr4+ZtFae25nQ6nJGMmmdP8mU2StIruECeIHkujBpH33mkCLKD8lTi9xoa4HrewQavQK7MvvGfVBMrXub3V7HJYNeTTJ5gNTXAMl16NlrRjeSTJSWpyg3bjCzqxuFgh/u+qkAs4r3wtgZ0LP8pQWrSNZpLeodHCTprZxK8bOR1oe5jvsirQwtPB8TKb3t8L28E10rO5J3LbXMuDr04KaHJ9+Kc88Hi6Se9JlDiig/JE8tcqPdPbgi3WxFzsQ766Y6sY5zbo/vxW0Ug/2EuY5xPWNHXzSziyS+wqLHOTdkZiNTnORopNVicTqTQ03TpJ6PKvI9yxpOXF2d34ObXR5IRESkTVTgikyTv058E8m6z1cDuxpFWJPrztM/txZYfN555711zZo1PyXpJR1oMtohXQzummZvYMt8D3QPExeuky7k/PDrjUxcNKf15436qCL1bsoM6uxJpsyWAJf6e0dJlosQERFpCxW4ItPknNvlhw4PNbnmcAVNZtA1s7WN6y9PPPHEzSST/mwzs2Y9vfeRXNM+NJnidhKz2zZsnmiosy/Y15MU3m0dFt1qsdpJxa3IDOv0IcpXMdoL/S8495OQwYiISL2owC3PI6EDkBl1Ec1nNu4Bnm6y/Vihum/fvl7gU9D8WnWSa0izi5/nmmh228nyQ6N7J1qnWmac2g7J6vQhyhqePPPUbkgR5YfkqUVutHMdXCn29dAByIzKW+u0aWHauC7Ur1P6wCR6R1tas7RNrgfS66hKGGo7JKtze3DNTgBWp7aowJ0ZajekiPJD8tQiN9SDW54LgXtCByEzJm/CpGGKF83uP/XUU499W5Yz8VJLS+O0a4iyj+McM9tpZttzepdl5qntkKxO7sFdDRznbz+Ec98NGUyNqd2QIsoPyVOL3FCBW56vhA5AZoa//jbv2tghMsut+OPX+0mI1j/11FPb/PZemvfUnlJw/nHaNUQ5ZR3wPTPbqOtgg1DbIVmdPMlUenjyjmBR1J/aDSmi/JA8tcgNDVEuz5rQAciMWUFm3ecGPylUb2bzYjg2i/K6c8899y3+dm/OJFJ9IdeG9r28nyJZv7YSzGxtJw6dNrNBM7va/70nq2PbjsbvamYb/azZ0h6dOUTZbA7JBFMNGp48czq23ZBSKD8kTy1yQz24ItM3AFxTsH/IzHoaw4F9sXqsYI3j+BNRFH262Q/6ZYZCreOathMIXqD4JZn6SJ7zKjwvk+ZnpN4bOo6y+C8g7mvMFu6L+2Ozh8u0dOoQ5Z8DFvnbPwR2B4xFRERqSj24IlNkZrt9AdozwfI9g0y9ONxIMtlTaCNQvK5vGZxzu/xSTKWuBdwmAyTrGG+repHne12v98Pmp2pj5vfcSbJetExfZ/bgju0Z2IFznRS7iIh0CBW4IlO3C+gHNhcd5CdrGmm1WPDHj0xm7VvpCCtyJiKrHF+YbgY2+UK3r5Wfzzl+mOT1ItPXeT24ZoaWBxIRkRJoiLLIFPlJoiZ77DZ/DWIrkzT1a1KnzueHVW8Chv0w5V3pLy18r/hGkiHXFwE7G9dcm9nGZcuW/fyaNWu+SjI0ezHJiIFrW4xhrf/Zc0h6UnuBgaKZsf2Q+s3+5682sw8C10/yevDFJAVt2rFRAJNYFkuKdWIP7gXAMn/7WeALAWMREZEaU4FbnltCByBhFRSrTXNDxW09OOd2+R7NoWxh6nvptwOrfNF3o5k9AyzyhfGnHnvssTeQFJYDLU5O1XiMtanrYHcDe/0XLgMT/Gj6d7jW//xGM9sO3DDBMOtmQ9kbBe9ifLErU9Z5Pbhjhyd/FucOBoukO+gzhxRRfkieWuSGhiiX5zWhA5DKUm7U30XAfU22bweuyfZopgrikblz516K70l1zt04hS8+0kPc+0hmxGYq6xr764fXAesnWG95BD9beErjfrZnV1rXicsEaXhyuTryfcXMesxsu2Zdn3EdmR9Silrkhgrc8mgxe8mj3Ki/cWsl+97bvnRPaGPSMpLidgjghRdeeNV0rsNunKexXvN0hgdnenCLJowaZnwvbo+PR72309dZQ5TNzgJ+xt87CPxzsFi6R8e9r/hRK8+QtH8awTSzOi4/pDS1yA0VuOU5M3QAUlnKjfrrbTLBVC/jZ4PeSHKNbuN61f6FCxfe06YY+oH7G3damfTMX4O7neSD57qJZoH2BXm2kF1MznrR0rJOG6Kc7r29Ded+GiyS7tFR7yv+C7idJHMDTHp+C5myjsoPKVUtckMFbnnOCx2AVJZyo8YaPadNdt1PqpfT996uB9JDhwde8YpXTPnbVDPr8+vR4s+922/vpfl1sumf7fFr115PUnSvm+QEUw3bMtcMD1CNJa/qoLN6cMcWuDuCRdFdOu19ZTuwrcU2pqlpLm8WRICYOy0/pDy1yA1NMiUiHcMXi/3AWmCxme0lMytxBa2gSc+lc27EzDb7mZWHSHp0V2WG8Pa+5S1vuX0aj70Yjs2ivI5k2Z+1JMtP5X6Q9McMAINTXdrIObfZ9/yuJfnd9lZ9/d8O0jk9uGanAJenttwcKhSpJl/cNSbca8e5+pnEigWpL+Aao2lmvPfYP+ZFTR6n38x2tXMpOf/l5tMkI29q3/am3ksXgybq7HYqcEWkFUFnwPWF7B6gpWVyAhsArmm2YxJDfdfFcfyuqT6wL2LTheykPrz5uKb9gajV5Yxk0jppkqm3AbP97S/j3OMhg5FKavRetqO42zzB/ADAsUK40TZud85da2YzNgGev764j+T9YNzv6We2H2SSbfQkHu9qYG87zhWaH930QZIl8pr+bf1zd19qxYDB9AoC0n1U4IrIZDTe+AuHtcoovyTPKpI35Sr3MEvn6aQhyunlgTQ8WYpMq8D0My9Pqhc4NfneWpJrf5nJdrrxZaMlIxry3kdvMLOr2/TF4ACwqZ09wmXzX0I0Cv6JRhNtzPSK7/Q/qwK3S+ka3PLU4ps0mRGVz43UG39/0EA6yy6S52u638hXPj+kdJ0xRNlsAfDm1BYtD1Sebmw3Jj1PgJn1+p7BAXxPrr8EJhj/Pjvp9cknsGKCgrCy+eHnjtgObML3yBf9Ljl/t2H0eWWqKpsbrVAPbnlqkTAyIzolNzYDHzSzbVrqZWJtvJarU/JDytMpPbj9wEJ/+1s4982QwXSZ2rUbqTkY9pD0gm5yzg34fbmji1LX5Q4zOpv7WpKhwruBFWbWW5HhrCM+lin1vPqh0JuAYT9MecwcFf552njyySf/6Nlnn/23wM7GlwK+B3w5MEgynHoxyQiklnqUfa/4YuAckp7UXpLrmwvXXk/Ffh+woYXPGYsZ3/vfWImgJ7UqwZTi6kK1aDtU4JbnfODe0EFIJXVEbvhrlC4CdpvZQCcPfeowHZEfUqrO6MHV8OSQatVu+OJ2MFXQXs3Y+SBW0GS2ev9zmxrXbvoiqrfC8wPcR1JcTnVyv13+dx7K/o6+0N8OrPr4xz9+XhRFf29mzwCL/PPyKZIC93rn3EBmFvxJSV/36i/T2euvLy7smfbF9WZg+RS+QG/25Uaj4F1M8qXBlOLqUrVoOzREuTwPhA5AKqtjcsN/03k9SZHb8pufTEnH5IeUpvqTTJnNBq5KbdHw5HLVrd34KEnPYkOjF66hh2TG4KztwE4z6/dF3PBUlyLyS6fl/pvKOZsYwc8CPA0XkRTKWduBa3wBeSw/UgXxCMkXBZshmWxwCjMRp79k6CMpmpmol9Q/zibgo372/Vaez2bPWeN+o9CdUlxdqhZth3pwy3MV8OnQQUgldVRu+G+Fr23jG7oU66j8kFJ0whDlS4BT/e0ngK/kHegn3ll1Irz9OfiEc25n3rEyabVpN3zPY1+mMO1nbME7rij071GL2zH0uLG8zwTHtOvSlOm+t/aRmfsh9Rw2nourzOx2/1hDqV7TvulMtpWavKsP2NNKb2xqIq4+YNDMRhgtyIsMM/456/HnHJluXF2oFm2HClwRmRK9QYgE0wlDlNPDk2OcOxanmR0HXDof3roAovmw7BJ48SlY8K9Jz5MKXEnrI9UDlypch1LXqw6T9Oqm9dJkqG/6uszJatfSaZPQw/SXS2p2DW9jrd+0jSTX6DauUe2nyZrtU9QP3N+408p1xb7A3uSL8kEzg4JZlJ1ze3wxnNa41rptcUln0RBlERGRzlLtHtzkE+m462+PM4tOMfvSPHj2tfBPvwO/vQNe8SzMux1OfBnsB2b5IZ/W9NwyKffcc89prRzvi4mqalaYNYqUxgy6Q4zvxRtidI1d4FgP3nSHAM+kU5jGWvONHsomu+4n9fw88sgjC4H1QHqI7gDT+HLJz37c6FVfTzKBVyO3Wu6Vds4N+WunN5MUvNcXHL4tc9nUAMnlVG2PSzqDenBFREQ6S9V7cM9ntDdtH3A7wGxYcADO74Oj/xVOyo737IH5wIeBD8+BwyeZjcyFnxj86CD84Hn4/lH4EfBj4HH//xPOucPl/FrV4j+0P00yxPTG1PbeSy655PUtnq7fzHZVsTfL99Te4CciGibpSb3I329cS7knW6Q750bMbJ2fkKrxe+0J8TumZoBeCyw2s71kZjj2+qY5zHkFTXou/XOxufFcXHDBBauBVZme7F58UThFi+HYcO51JEXpWmBkqtc9N2JnguX2nHOb/bW7a0l+j72p18SMxCXVpgJXRESks1R9kql07+3ncO5FgP3OfdLM4t2wYSVsWQHH/Skcf6k/8Itw5AT4yUE46SAc9xy8hOTfq/MeyICFZvuOg6dmwxNH4dHn4XsH4YeMFsGPAz92zj03E79sCL5QyVvOY/PmzZs/38r5/Iyyg0x/3e6pmLAXrcmsx80mBxrKDj9uXNc5zfimzReye4Dc2Zv90OvpFt8DwDU5MRz7EiSO46NRFI1k9k9rwqUmz3WpuZQ3M3bouCQMFbjluTl0AFJZyg0povyQrHQPbvWGKEOUuj1meSDn3AHgv5rZ9XfDe94Mf/w6WPincMKTMPcQnO2ce97MjgdOB5Y2/p8HZxwPZ82CM4/C6S/CKQfgpANwwgE4ATgLuDgvqHlmBxfAM3PhSeCHL/peYTe2R/hx4Cnn3JF2PiEzYIBk+ZsxBZHv1dwOfGEK57zBzK4OsIROL7RlXodBkuHLVV0CaCIbmWIPql/6ZhXJurWTmSSqUu8rvkd1oiV7Rtq4vrzkq1RuTJUK3PJcSA3WlZIZodyQIsoPyapuD67ZGYzONnsYuKXZYS7p1b3ezP72Pvh374A/AU5yzj3v9z9P0kOZ10vpH87mkMzWfKwQngVLj4ez5sEyB0sPwZIDsOgQzDsEp5H8e13uOeHo8WbPHQdPzYIfH4Ef7IPvH056hRtFcKNX+MCkn5v2WpEz1Hadc24gjuM30GK74Yf5DlJ+gbgeaHU5mnH8UOaRTpw4yA+vHpnGDMa7SIZAT7YArNT7SomTeMnEKpUbU6UCtzzfCB2AVJZyQ4ooPySrypNMvSN1+04m6JVzzh0CPmZmnwCWtfpg/vrbRsGZy09adRKjvcJLgdPnw5kLkl7hM47A6S/A4hfg+P1w8n44meRa4kvzzjvf7MB8eGYOPOHgRwfgey/AD5r0Cg8756b9t/Iz3W4Chv0w5WPXcWaWbvtG5ufWklyL2Fg/thcYaDIstdQC0fc499CmYaN+qPVG2lAwl6x/CmvOHjOFnk29r0ieWuSGCtzynAM8GDoIqSTlhhRRfkhWlSeZGjd78mT4QrWwt3Y6fHH5rP/3raJjzWweSS9vulf4pSfAWXPh5Q6WHoRT98PJL8KCF2EB8FKSno+mZsGRE82enZdMmvX4YfjBc6OTZjUK4Qd8wV/0ezTWCR1qMpR4BaMz6B5rN8xsbeP6Sz+Uda8vBJsNCb2PZGbi3AJ3gtls0zYXDTv2Bfp6kkK7bcvOTadQDCVAzHpfkTy1yA0VuOWpRcLIjFBuSBHlh2RVc4hy0oP4ptSWm0KFMh3OuYPAo/5fLt8rvJhUIQycvgBevgDOMnjZITjtRVj0IizYlxy7GHhlzil/BfjEJEK8CLihyfYeklmVYWy7kR722sfozMPNJhUaYYJldPzSLdPih0L3OueWT/dcMiV6X5E8tcgNFbgiIiKdpaqTTL2V0c8Vu3GusEDsdL5X+Gn/76GiY81sIaO9wkuB0+fAy06As2bDyw/DKc9OfmhgH82H9DYtTBvDjRtrpE6it7SMtUGvB3aa2aAmDhKRdlOBKyIi0lmq2YM7xeHJ3cA5tx/4nv83XXnXyA4zuv5wM/3A/Y07OdfaTrhUTTuGKPvHPcfMdprZ9ukuUSMikqYCV0REpLNUb5Ips+NIenAbVODOgEYvbM7uITJLrfjj1/te0vX4ZWj8rL3NempPKTg/0J4hyinrgO+Z2cZOvHZWRKpp1sSHSJt8O3QAUlnKDSmi/JCsKk4y9SbgRH97CPh6wFjqbAXJkjDj+NmUe/3dRruxGI7NoryOpNd0LUkvcLNCts851/T8M8H38H6KZA1baSMzGzSzq/3fO6sr3lcav7+ZbfSza8vEapEb6sEtT62vRZLW+Nkjh4DFJ5100oJnn3029/qtxocRkjXihkkWg78xPbQsfT7ozFkkJZfaDsmq4hDlscOT27AkjjQ1AFxTsH/IzHp27NjxKCSzLjO2IM693tUvMxRi/didJO9r0ib+M0HRrOS1f1/xE5ndl5pBfDA9o7jkqkVuqAe3POeGDkCqwTe6Q865G51z244//vgLc75hbVhM8u32XpLrt4Yyxe2Y8zH6Db3Ug9oOyarWJFNmsxi7/q2GJ7eZme32BWhPTs9rwyBJsTiVdmMjfghzyUZg3Dq+Mj0DJGskb8sp6Cr9vuJ7Xa/3Q+mnamPmd99Jsoa0FKt0bkyWCtzyaLiWNIxpdPft23cDEze6i4BznHOLmrxZqRGvN7UdklW1HtyLSGYGBngK+FLAWOpqF8kkUYUzDvsvP0c+8IEPPN/KyX0hMTJB8SydY0XORGQNlX5f8Z9pNgObfKHb18rP5xw/TPIakmKVzo3JUoFbnitDByDhNWt0169ffz4TNLrOuZFmb1ZqxLuC2g7JqtokU+nhyTfj3JFgkdSUc26zH6UzYQHqnNt2xhln/IcWH6Jfl7aMSl23OWhm/f729tBxTcTHuh0Y9tef9mX295jZ1X/913/9Xxq/W2rfxkavaer3v7pNcbX8fPrPPZv9pGb9ZrY9He8EFpN8FkrTSIHJqcVnDl2DK13PvwH0k8wc2QNscs4NFP/UlI1rdE855ZT9Po6evCUV/OQIw/7ne5xz1+adj1QjPon1DkWk81RtkiktD1Qxmzdv3tnK8SpuR6Wv0zSz3cBe59w2M5upzwVt45zb5T/TDKU+JwDHeum3A6ve//73X3Hrrbd+2syeARb5wvFTwHLgeufcQLsudWrH89n4XVKF8Q0TXEvbrIhtfFZajP+cJPWlAle6mn8jGGwUtP7bysKGb5prAI5rdF/60pc+52/mNbq7gOHGufw3rI0lFdSIi3Sf6gxRNnsl8Cp/7wA5M/yKdJB0L3kfSeFHB63VexFwQ5Pt24FrnHMjcRwf25gqiEfMbAWwAY4NE26Htj2f/nPPNt+bO1CwZNUIftLNlMb9bKeA1JAKXOl2H2XsNU3nkFzDmmuaawCOa3R/9KMfNZbWaNroNhmavJNkIpFtzc6HGnGRuqvSJFNR6vbncW5/sEhE2qDxnttYc7gDR0L1kblW2/fe9qWL1sakZfjitvGz7b4Ou53Ppx/NNsDEPbjDjO8A6PHxdNrfU6agrdfg+nH7V/vx9VcXjXP34/CdmT1jZjvTM6W1ch6RqUo1+Okeh35mtgdiXKP79NNPL4Tmja6/XsZlXgMjjK51qEZcpPtUpwdXw5OlvvqB+xt3pjmjb5l6m3wx3svYnlRIZs3elRodNtOff6b8fPpaYDtJMb5uot5lX6RnPwMtRiNMuka7e3C3O+eWA5jZ/SS9Y3lDEO5zzlnOvlbO0yn0xl89faQafF9ELnbODZlZszeIxnFTHqLsnNtjZmO2fexjH/saxY1u9jzH3qianQ814nWjtkOyqtGDa3Y68EZ/7yjwmWCxSJbajSnwvYzrnXObgfX4ZZN8MVb5zpZGL2mTXfeTiv+9733vHcAfAKtSxwwwwQi2KcYzpefTfyb7oD/u+uw1xZOwLbPu7QBhlsHqNLVoO9pW4PokPjYk0o/lb3km13adp4IuBu4JHYSM0ezbzMa3i33kLHg/zSHKkGl0ly5d+iuPPfbYsUY3PZTI53/259cB1+SdDzXidaO2Q7Jmp26H7MG9itFi+4s493TAWGQstRtTsxiSiZFI3ms3+dsjmdFeVbWCJl9w+88Sm/08I0PnnnvuyuHh4VVNvjxv92eHKT2f/pgBkjlSipY7yuWc2+x7fteS/G5723hdcZ3Vou0w59rz5a9PoPXpi8bNbC8wkLO8ydUkBcQISRJf41+AkzqPH4e/EaC3t/em66677qHMQzxCspbThcBXGDuMquEW4DXAd4EzgfMy+/f6f+cDD5C8mWfd7B/jGyTXb56T2f9t4NHUOZpNv72DJKEe8PEsy+x/GHjCx7gXWJ3ZfzSKoh1xHF9G8rteCJyROeYhkud6iY9nVWb/oSiKbo7jeCVwl49naeaYB4H9JN+mPQGszOx/IYqiW+I4viKKott9PEsyx+wGjgALfTyXZfbvi6Lo1tQ5VjL+GtN7ST7gzfHxXJLZ/2wURbfFcfymKIruiON4FWLWgNAAACAASURBVHBy5ph7gIUbNmz4tdmzZ4+87nWvO7Wvr2/o4x//+C+fffbZD77zne/87O///u9/JhXHauCEzDnu9s/Ffh/P8sz+J6Moujt1jiuB+QBbtmxZs2TJkie+/OUv71u6dOnsa6+99n/45+SCwcHBgW9961s/+7d/+7dbgcff+973fvPUU0+95lvf+taec889d/XZZ5/9vfe///3pxue2D3zgA3945MiRrwOvWrZs2YmZGTQfI8mti308axh/ecKtJLn7KHAa8OrM/qq9ns718XTD6+nNURR9vhNeT8BhH88bMvuHoyi6c6ZeTyl3kuTviI/ngsz+x0n+ppf7eK4C5maOuY0kN5708bw2sz/o6+nFoy/Oet/X33fNc0eeOxfgzPln/q+/etVf/QYBXk8D73vfHyx86qk+gJGzz/7zL/zlX/4x1X89dcz7E9N7Pd0HLKADXk+/+Iu/uOjAgQP/DJyzY8eO16P3pym/P/36r//6751//vnX/tZv/daXKHg9kfTUvhG9nkDvT9nX0+P+HJV8PUVR9Okm5xqnnQXuRpIiNFuYrmt2wXp6CZP0TLatnqdTxHG8PIqi3aHjkOpRbkgR5Yek2Vb7D8CHgeTj2hzOc1vcd8oPxE4EfgIc57f04tz3So9DmuqkdsN/BtwNLO/kz3kh+eV3VpFc4jfh8judlB9SrrrkRjsnmWo22U32m5hj0sMifIPWGIbc0nk6SPZbOpEG5YYUUX4IALbVXg78ybENd0GQ4jbxZkaL26+puK2cjmk3UkVtHS5HC2UXyfO3eaIDvY7JDyldLXKjnQVu3vWKzXpv+/y3TdM6j4iISDewrWYkS4Md7zd9g38JGJBmT5b22gx8UKtmTI1zbrOft0OflUVoY4HrX1THelr9RDm70vdTDdcQqQvZ/SRSN07mPCIiIl3o/yHpNYVk5uQNHAkUidlc4G2pLSpwZVr8DLm7gN0dtByPiFRUW9fBBTY01q8F1gIbUvsGgV+AY8OTh8xsY2rR5g2TPI+IiNSIzbV/b8fZn5lZu9+TasG22suA61KbPuK2uC+Fige4nNFLiX4AfDVgLFITfu6V60mK3LWh4xGRztXWdXB972tjeMSuzL51mfu5vbJF5+lgD4cOQCpLuSFFap0fZrYQ4zoOM5d5XOCXvHo+dFxV4YcmX8/ozKB7SdavDCk9PDmmXbNVSjt1ZLvhe3Kv1VDlGdeR+SGlqEVu6Nvy8jwROgCpLOWGFKl1fjjn9gNvZTYHOMhbmMf9ZvbS0HFVyL9j7HDgX3Nb3P5QwZAszB2ltmh4cjV1dLuRWZ9V2q+j80NmVC1yQwVuec4MHYBUlnJDitQ+P9xRdxtH6GMuP+Ygr2IuXzOz7BqBXce22lLgI6lNf+22uC+Eise7kNGcfAb4YsBYJF/t2w2ZFuWH5KlFbqjALc/e0AFIZSk3pEhX5Idz7psc4vXM46sc4hRmc6/NsrdN/JP15Icm/y9gkd/0feA/BgtoVHp48mdx7lCwSKRIV7QbMmXKD8lTi9xQgVue1aEDkMpSbkiRrskP59xPOMglzOOfOMI8HDfbHPttS4bFdptfB96auv9rbovbFyqYFC0P1Bm6pt2QKVF+SJ5a5IYKXBERqQzn3Asc5OeZy58AxhGuYx4fNbO2TopYZbbVXgX8f6lNf+m2uNtDxXNMsnzL6/y9F4HPB4xGRESkKRW4IiJSKc455w66/4TxyxhHOMivMY/bzOyk0LHNNNtq84C/Bxb4TQ8BHwoX0RjpyaV24SrRoywiIjKGClwREakkd9T9PY5/wxz2cZDLmcdXzWxZ6Lhm2B8Cy/3tg8AvuS3uhYDxpGl4soiIVJ4K3PIcDR2AVJZyQ4p0dX445/6Fw1zAPH7AQc5mDg+a2cWh45oJttUuAz6Y2vQht8V9LVQ8Y5i9BLjM33PAzQGjkYl1dbshE1J+SJ5a5IZpfXYREak6M+vhOG7hRS5hFodx/JI76j4VOq52sa12CvBV4Ay/6Q6g321xuR82zMw558qZgMvsPcDH/L0v4dylpTyuiIhIi9SDW5I4ji+b+CjpRsoNKaL8SDjnRniRf8M8/p6jzMFxg821/1yHGZZtq80CPs5ocfsM8KtFxW0AGp7cQdRuSBHlh+SpS26owC3PV0IHIJWl3JAiyg/POXeIg/wKc/ww3sP8MfP4RzObFzi06fptIL3m76+6Le7RUMGMY7aQsUtHqMCtPrUbUkT5IXlqkRsqcMtzYegApLKUG1JE+ZHinHPukPszjHcxi0Mc5N3M41/MbHHo2KbCttobgT9LbbrObXFVu751gNFZnb+Bc98JGYxMitoNKaL8kDy1yA0VuOU5Y+JDpEspN6SI8qMJd9T9E0e5hDmMcJAVzOVrZvaK0HG1wrbaIuCTQGON33sZO8lUVaSHJ8fBopBWqN2QIsoPyVOL3FCBKyIiHck5t5vDvJ55fJdDvIw5PGBml4eOazL8dbd/BzSWPRoB1rst7mC4qJowmwNcldqi4ckiIlJpKnBFRKRjOece5SB9zOMODnM8xh022341dFyT8J+Bt6fuv9dtcd8PFEuRnwVO8bd/BNwfMBYREZEJqcAVEZGO5px7joMMMI//gWMWR/nfNs+uNbNKvsfZVns78EepTX/utrh/ChTORNLDk2/CVWpmZxERkXEq+eZfUw+FDkAqS7khRZQfk+CcO+JedL/JbD4AOA7x+8xjh5ktmPCHS2Rb7RXA36c23QZ8KFA4xZIlmLQ8UGdSuyFFlB+Spxa5oQK3PCOhA5DKUm5IEeVHC9xh998wrmQ2L3KQq5jHvWZ2Wui4AGyrnQD8E3Cy3/QD4N1uizscLqpCrwXO9rd/CtwRMBZpjdoNKaL8kDy1yA0VuOVZEjoAqSzlhhRRfrTIHXX/zBFWMJefcJDXMpd/NbPXhIzJTyr1caARx4vAu9wW91S4qCaU7r39HK5iE2BJEbUbUkT5IXlqkRsqcMvzaOgApLKUG1JE+TEFzrmHOMTrmcfXOcSpzOZ+m2VvDhjSnwDvSt3f5La43aGCmSQNT+5cajekiPJD8tQiN1TglmdV6ACkspQbUkT5MUXOuR9zkIuYx2c4wnzgczbH3l92HLbV3gP8x9SmD7st7uNlx9ESs5cDff7eIeBzAaOR1qndkCLKD8lTi9xQgSsiIrXlnDvAQSLm8hc4jCP8NzvO/trMZpfx+LbVLge2pTZ9Fvi9Mh57mt6Run07zj0bLBIREZEWqMAVEZFac84ddQfd7zOL92Ic5SC/yXF83sxOmMnHta12LsmkUnP9pn8FftFtcUdm8nHbJD08OQ4WhYiISItU4IqISFdwR9zHcFzBbPbzIquYxx4zO2MmHsu22iLgM8Biv+kJ4O1ui3tuJh6vrcwWAStTW24KFImIiEjLVOCW51DoAKSylBtSRPnRRs65L3CEC5nLDznIK5jL18xseTsfw7baAuBm4JV+0wtA5La4H7TzcWbQlUBjCPe9OPfDkMHIlKjdkCLKD8lTi9ww51zoGEREREplZqcwj89zkOXM4hCOde6om/ZQXNtqc4D/n7HXsL7bbXE3TPfc4x7LzDnnrN3nxWw7sNbf+wOc+9O2P4aIiMgMUQ9uSeI4Xhk6Bqkm5YYUUX7MDOfc0xzkUubxKY4yF8cOm2ubLXGizbOdZvb6Vs5pW82A/8nY4va3Z6K4nTFm84G3prZoeaAOpHZDiig/JE9dcmNO6AC6yF2hA5DKUm5IEeXHDHHOvWhm72Yu3+AQf8Rh/ox5nI/xck7k53iO683sZ93khzr9F+DXUvcH3Rb34RkIfSZdARzvb38HeDhgLDJ1ajekiPJD8tQiN9SDW56LQwcglaXckCLKjxnknHPuoNuK8W5mcZiD/Aqn8wY2MZv5vI6xvZm5bKv9e+APUps+DnxwJmKeYWNnT9Z1TJ1K7YYUUX5Inlrkhgrc8iwNHYBUlnJDiig/SuCOuhuAv+KlHOA9LGQucCXHM4//bmaFo51sq70H+KvUpluADW5LhxWHydrAUWqLhid3LrUbUkT5IXlqkRsqcEVEpOvZLHsL8/h11rGAxrRN5wGn8hJm8b7cn9tq/xb429SmLwO/4La4TpyJ8mJgib/9JMnvIiIi0lFU4IqIiMzhfA5h7OA5vgYcBAx4G8czmz8zsxOzP2Jb7eeBv/NHAnwVuNJtcc+XFnd7pXtvb8K5I8EiERERmSIVuCIi0vXcQXcdR3gJj7CJW7iba3mR7RxgP3Au85jLh9LH21Z7x/9t797DLanrO9+/vzR3BBoEAS+DaS6KGMEGYYyXQWgYoyGrNY1nktEkE0ODiZkzxnNw9MRnZ2cmITgZNDPJGWk4UWKSiYIcFqBRaAxR1KBcjYAEacIlOgg2DQLNrfs3f1Tt3rVXr6reu3vtqlq13q/nqWfvVVV77e/u/qyq9V11+QF/zex4sbcDp6ap9GjNpY9GRADvKMzZ4SGTJElqgg1ufW5rugC1ltlQFfNRk5TSkyml/5k2pjfxPIdyBx/mUu7iLnZlEx+MiEMAYjp+FriE2ZEI7gJOSVPpkaZqH4FXAkfk3z8JXNtgLdpxbjdUxXyoTCeyYYNbn6eaLkCtZTZUxXw0IKX0UNqc/jhtTK9kM68mMQ3sFNPRI7v50q75qveQNbcPNVbsaBRPT/4SKW1srBKNgtsNVTEfKtOJbNjg1mdp0wWotcyGqpiPhqWUvpc2p9/nd3kj8Hlmm9v7gJPTVPrn5qobmbnDA2ncud1QFfOhMp3Ihg1ufcb9030tHrOhKuajBfKhgP6K2Wtu7wH+VZpK9zdW1KhEvJjZsQ83AV9osBqNhtsNVTEfKtOJbNjg1uekpgtQa53UdAFqtZOaLmDSxXS8D/gUs/vMO4E3p6l0X3NVjdTphe//jpTWN1aJRuWkpgtQq53UdAFqrZOaLmAUKgevlyRpUsV0BPAh4NzC7FuB09JUeriZqhaFpydLkjrDBleSpAExHUuATwDvL8y+AfjZsR0KaJiIfYBTCnNscCVJY80GV5KkgpiO3YHPAKsKs68Dfj5NpZ80UtTieSuwS/79LaTOnHYtSZpQXoNbn6ebLkCtZTZUxXzUKKZjKfBl5ja3nwPe2sHmFuaennx5Y1Vo1NxuqIr5UJlOZCNSSk3XIElS42I6DgWuAl5dmP0J4INpKm1upqpyEZFSSrEDT7Ar8DCwTz7nWFK6bRS1SZLUFI/g1qTf75/cdA1qJ7OhKuajHjEdrwe+xdzm9v8GfruNze2InMRsc/tPwHcaq0Qj5XZDVcyHynQlGyM9ghsRy8hO67oZWA6sSSltKFl3OXA82YDCrwM+lFJaly87DzgH2ADcCJw1s0ySpFGK6XgPcBGwaz7rOeDX0lT6i+aq2rYRHMH9U+A38kefIKUPjKQwSZIaNOojuJeklD6WUloLrAEuHLZSRCwFjk8prUkpfQy4ALimsMq3U0qRUtovpXRqF5rbfr//xqZrUDuZDVUxH4snpmOnmI5zgT9ntrl9BDil7c3tDovYCegV5nj35A5xu6Eq5kNlupKNkTW4+RHZLYPD50duV5SsvoxsbMEZNwLL8sa3q17UdAFqLbOhKuZjEcR07Av8/8B/LMy+HTghTaWvNVNVrY4DXpJ/vx64vsFaNHpuN1TFfKhMJ7IxyiO4y8hOKS5an5+2PEdK6WayneuM44ENhdOZl0XEqohYERHndbzxlSTVKKbjp8k+WP35wuwvAD+TptK9zVRVu+LR2ytJ6fnGKpEkaYRGOQ7u/iXzhzanA9fmngWcWXi85drdiFgPXAKcWvz5iFgNrAZYtmzZFeeff/53B37FfWSfxr8WuIG5QyHM+CJwNPB94GXAkQPL78mnVwG3AKcPeY4r899xB3BYPhX9I/AAsKzf7+8OvG3Ic1wOnJj/jqOBQweW3wk8lNd4D3DawPLNvV7v8vy0ghvyel46sM53yT6AeFFezykDy5/r9XpX9vv9k4Cv5vUcMrDObcBTZP+nD5HdoKTo6V6v98V+v39yr9f7Sl7P4CdBNwGbgD3zegZPhXii1+tdXXiOk9g6W98ClpDl9yng9QPLH+v1etf2+/239Hq9v+33+6cA+w6s8828hufzek4YWL6+1+tdV6jjNOAFA+tcn/9bPJXXc9zA8h/1er3rC8/xNmD3gXWuA17S7/cPyes5ZmD5D8n+T9+c13M6s2NWzriWLBs/yut59cDyB8mydWJez0q2/nDrarLsPgAcBBw1sLxtr6fD83o6/3oi+/+8zNfTvF9PB+X/FkNfT++89Z2HBXFRIu02M/PwPQ+/4vcP//3P7LbTbiv6/f44vZ7o9/snsB2vp7ftuecv7/LUUwD8r+OP/4cb3D9Bt15P+/T7/SNZ5NcT7p+Kxmb/BODraYvW7J9ox+tppl9p5eup1+tdNuS5tjKym0xFxCqym0GdWpj3KHBKfsS27OdWA+tTSpdWrLNjN9JogX6//875/qdospgNVTEfoxHTsStwPvCbhdlPAu9NU+mzzVS1Y7Z73xhxOHB3/uhp4ABSenKUtalZbjdUxXyoTFeyMcpTlIfeCGobze0KYF2xuY2I5RFx0wjraosu/k0aDbOhKuZjB8V0HEb2CXyxuf0e2fW2Y9nc7qDi6clX29x2ktsNVTEfKtOJbIyswc0b2S2nFuTX3q4tPi5eSztzU6r8jsszR4Aha5QvKKy3Aig9ujtGNjVdgFrLbKiK+dgBMR3vBm4lG45uxqVkze0dzVTVuOIpZ5c3VoUWk9sNVTEfKtOJbIzyGlyAMyPiHGbHwS1eV3se2VBAa/Lm91pgacSWs6vWAZemlDZExLr81GXIzskuPs+42rPpAtRaZkNVzMd2iOnYB/hT4N2F2c+R3cH/E2lqhIPAj5OIFwFvyB9tBq5qsBotHrcbqmI+VKYT2Rhpg5sfxZ05JXntwLIzCt+vA/areJ61ZcvG2OAdpqUZZkNVzMcCxXS8HvgMc29acTfwi2kqdeL0qx1wOjDzyfLXSenhJovRonG7oSrmQ2U6kY1RXoOrap0YOFmLwmyoivmYp5iO3WM6PkZ2vW2xuf00sNzmFph7/a2nJ3eX2w1VMR8q04lsjPoUZUmSahfT8TrgYuYOefAT4Ow0lf6qmapaJuIFzB12pN9UKZIkLRYbXEnS2Irp2A34KPAfycYnnLGWbAig+xsprJ1OA2bG//0uKd3TZDGSJC0GG1xJ0liK6Xgj8EmyAednPAn8X8AFE3sjqXKenixJ6jwb3Po80XQBai2zoSrmY0BMxwvJ7sz/3oFFfwf8WppKQ8dln2gRO5PdYGqGpyd3m9sNVTEfKtOJbETyA25J0hiI6QjgPcB/BQ4oLHoS+AjwJ2kqbW6itiZEREopxbbXBCLeAnwlf/TPwMvwDYAkqYO8i3JN+v3+yU3XoHYyG6piPjIxHT9NNn76xcxtbi8HjkpT6b9NUnO7Heaenmxz22luN1TFfKhMV7LhEVxJUmvFdBwI/B6wmrkfyj4AvD9NpSsaKawF5n0ENyKAe4FD8zmnkdI1i1mbJElN8QhuTfr9/klN16B2MhuqMqn5iOnYNabjA8DdwNnM7q82kZ2i/KpJbm4X6Bhmm9vHyK5VVodN6nZD82M+VKYr2fAmU/XZv+kC1FpmQ1UmKh/5dbY9sptIHTmw+BrgA2kq3V57YeNtZeH7L5DSs41VorpM1HZDC2Y+VKYT2bDBlSS1QkzHW4BzgRMHFt0N/DbwBYf+2S4ODyRJmhg2uJKkRsV0HA/8AXDqwKLHyK6//ZM05VHH7RLxcuDY/NGzwJcaq0WSpBrY4EqSGhHTcQzwUeAXBhY9C/wpcG6aSg/XXli3FI/eXktKP2msEkmSamCDW59vNV2AWstsqErn8hHTcQLwO8DpA4s2A58GptNUur/uujrK05MnU+e2Gxop86EynciGDW59ljRdgFrLbKhKZ/IR0/Emssb2tCGLPw98NE2lO+utqsMiXgi8uTDnyqZKUe06s93QojAfKtOJbNjg1sd/a5UxG6oy1vmI6dgJ+Dngg8xttmZ8HvjPaSrdWmthk+HtzL5Z+XtS+mGTxahWY73d0KIzHyrTiWx04o8YE081XYBay2yoyljmI6ZjL+BXgP8AHDGweDPwP8musXXIn8Xj6cmTayy3G6qN+VCZTmRjp6YLmCCvb7oAtZbZUJWxykdMx0tiOv4AeIDsRlHF5vZ54M+AV6ap9G6b20UUsQfw1sKcflOlqBFjtd1Q7cyHynQiGx7BlSTtkPw05JOBs8mOGg7uWx4DLiAb7ueBmsubVCuAPfPv7yKl7zVZjCRJdbHBlSRtl5iOA4BfBc4CDh+yyj3AHwOfSlPpiRpLk6cnS5ImlA2uJGneYjqWkB2t/VVgFbDrkNW+CnwcuDJNpU31VScAIpYAP1+YY4MrSZoYNrj1eazpAtRaZkNVWpGPmI6jyG4a9W7gJUNWeQy4GLggTaU76qxNW3k9cGD+/f+iI+MaakFasd1Qa5kPlelENiKl1HQNkqQWyk9B/jfALwOvK1ntW8Angc+mqdSJuy+Oi4hIKaUYsuCPyIZlAlhDSmfVWpgkSQ3yLso16ff7b2m6BrWT2VCVuvMR0/HCmI5fj+n4MtnRv//O1s3tw2TX1i5PU+nENJU+ZXPbEhEBrCzM8fTkCeR+RVXMh8p0JRsewZWkCRfT8ULgHcAZwCnAkiGrPQtcSXYa8pfSVHquvgo1zNAjuBFHA9/NHz0BHEBKz9RdmyRJTfEIbk36/f4pTdegdjIbqrJY+YjpWBbT8X/GdKwFHgIuBE5j6+b2m8BvAIekqbQqTaUrbW5brXj09m9sbieT+xVVMR8q05VseJOp+uzbdAFqLbOhKiPJR373438JnJ5Pr6pY/e+BzwGXOm7t2HF4IIH7FVUzHyrTiWzY4EpSR8V0HAysIDsy+7PAARWr38BsU3t/DeVp1CJeyuz10s8DX2ywGkmSGmGDK0kdEdOxJ/Bm4NR8+umK1Z8GriW7rvaqNJX+efEr1CIrjn17HSltaKwSSZIaYoMrSWMqpmMP4ETgTcBbgDcAu1b8yEPAVWRN7do0lZ5c9CJVJ09PliRNPBvc+nyz6QLUWmZDVbbkI6ZjX7Im9k1kR2pfB+xS8bPP5T9/DXA1cGOaSpsXr1Q1JmIpcHJhzhVNlaJWcL+iKuZDZTqRDRvc+uzZdAFqLbOhrcR07AS84qf2+KmfWzm98uXAzwDHAFH5g3A7WUO7Fvi7NJWeWNRC1RY/y+w+/SaSNwebcO5XVMV8qEwnsmGDW5/nmy5ArWU2REzHIcAJZKccn0B2dHafezfeu60fvRP4Wj59JU2lHyxmnWqt4vBAnp4s9yuqYj5UphPZsMGtz6amC1BrmY0Jkh+ZXUZ2NPbY/OtrgZfO48c3A7cCXyVraK9PU+lHi1SqxkXEbmRHcGfY4Mr9iqqYD5XpRDZscOtzAvBg00WolcxGR8V07AUczWwjeyzwGuAF83yKhw/c5cD7Hn7u4SuAbwHfTFPp8UUpVuPsLcDe+ffryE5T12Rzv6Iq5kNlOpENG1xJ2kExHfsDRxWmV+VfD13A02wEbiIbj/Zb+XTfhUdf+I5er3fZaCtWx8w9PTml1FglkiQ1zAZXkuYhH5JnGXAYcHg+zTS0By3w6R4hO9X4tsLXO9NU2ural36/vwNVq/MidmLu+LeenixJmmg2uJKUi+lYStbEHs5sIzvz9SXb8ZSbgLvJGthiM/vDNOVRNo3E64BD8u8fAb7RYC2SJDXOBrc+65suQK1lNmoQ07Ez8GLgX+TToYXvZ6Z9tvPpnwbuAu4gu6vxzHR3mkrP7ljl5kOViqcnX0lKnbhBiHaY2w1VMR8q04lshJfqSBpnMR0B7Ed2FOsQsib2kML0ErLm9SXATjvwqzYB9wHfB+7Jp++RNbL3pSkbC9UrIlLK8ndUPqtHSlc0WZMkSU2zwa1Jv98/udfrfaXpOtQ+ZmNr+VA6S4EDC9MBwIuY27y+GDgY2G1Ev/pp4F5mm9ji1/vSVHpuRL9n3syHyrwiIt01+/Ap4ABS2thYQWoNtxuqYj5UpivZsMGVtKhiOnYla1b3y6eZ7w/Ip8Em9kDghcCSRSjnIeB+siOx9w+ZHvHaWI2LcyLSx2YfXk5K72iuGkmS2sFrcGvS7/dP6/V6Vzddh9qnzdmI6VhCNmbr3kOmfdi6aR32eM8aSn0C+GE+/aDw/czj+4EH01R6uoZaRqrN+VCzVs596N2TtYXbDVUxHyrTlWzY4NbnBU0XoNba4WzEdOxC1kgOTnuUzB/WsBYb15nv62hOyzwOPJxPjxS+/+HglKbSE00VWQO3HdpaxMH/cvbRZuCqxmpRG7ndUBXzoTKdyMZIG9yIWAasAm4GlgNrUkobFrruQp5Halp+k6Ndya4DLU67z2fe8r2XH79yeuUrt7HutprWNn9YtQnYkE+PFqb1zDatg03sj9NUeqaRaqXxcHrhjmlfI6UfN1eKJEntMeo3xZeklI4DiIgbgQuBM7Zj3YU8j2qUN3Mz005k10m2bdoZ2GXItND58/2ZHXod3fyTm3fkx+vwBPCTkunRgWmwid0A/MTrWqWRK56h7OnJkiTlRtbgRsRyCmMnpZQ2RMSKha67kOcZBzEd7wP+9YG7HPjilbeu/DVmG8PBr8PmLWSd7V220J9XO20GniS7k+q2po0Mb1ofHzLvyTSVNtf5h0jahoi9gVMKc/pNlSJJUtuM8gjuMrKjNUXrI2JZSmndfNdd4POMg2OB3sPPPdx0HVpczwHPkA0z80zFtNXyvZbstdOTm57csI2fHWxeNw48fs6jpJ11fdMFqHVWMTs01ndI6d4mi1Erud1QFfOhMp3Ixigb3P1L5i9d4Lrzep6IWA2szh8et83qmvJ24HVNF7EINhe+ppZ9nZk2lXzd3mVV68yerrzgi/Of5MmF/shQ8bsxZtBtDQAAGVRJREFUkueR1F77AXcCB+WPPwqv+c8RfrglSeq8lNK83uyOssFdz9bNbFmzWrXuvJ4npbQGWLPAGmsX03Es8PLD9jhsv3s23vMI227NRr1s1D+fPFI4Wv1+/6W9Xu/BputQO5kPzRFxEfBegAeB/wT7/qeUHm+2KLWN2w1VMR8q05VsjLLBHXr6cEpp2B10SteNGN6YlzxP66WpdCtwa7/fP7TX693XdD1qpSVNF6BWMx/KRJxE3twC/CbQt7nVcG43VMV8qEwnsjGymwblDeiWI6359bRri48jYum21t3W84yx9p5GraaZDVUxH4KIvYD/rzDnsiuaqkXjwO2GqpgPlelENkZ9V9wzI+Kc/K7Hq4AzC8vOA941z3WrlkmSNGn+gOwmjJDdiPG3GqxFkqTWGuk4uPnR15lTidcOLDtjAeuWLpMkaaJEvJG5De0HSOkHlFzSI0nSJHNcU0mS2ipiT+DPyMYiB/gb4OLmCpIkqd1scOvzo6YLUGuZDVUxH5Pt94Aj8u8fB84ieSd7bZPbDVUxHyrTiWyE+0lJkloo4vXA9cx+GH0mKV00uzjSfMcElCRpUngEtyb9fv/kpmtQO5kNVTEfEyriBcBnmN1PX8PcuyhLpdxuqIr5UJmuZMMjuJIktU3EhcCv548eB15DSvfNXcUjuJIkDfIIbk36/f7bmq5B7WQ2VMV8TKCIlcw2twC/OdjcSlXcbqiK+VCZrmTDBrc+uzddgFrLbKiK+ZgkEYcAFxXmfBb4y4aq0fhyu6Eq5kNlOpENG1xJktogIsiGBHphPudB4H3eNVmSpPmzwZUkqR3eD7y18PhXSOnRpoqRJGkc2eBKktS0iOOAPyrMOZ+UvtJUOZIkjSsb3Ppc13QBaq3rmi5ArXZd0wVokUXsC3wO2DWfcwvw/zRXkDrguqYLUKtd13QBaq3rmi5gFGxw63NQ0wWotcyGqpiPLsuuu10DLMvn/AR4Fyk93VxR6gC3G6piPlSmE9mwwa3PhqYLUGuZDVUxH912FvCuwuMzSen7TRWjznC7oSrmQ2U6kQ0b3Prs2XQBai2zoSrmo6sijgU+UZhzASl9tqly1CluN1TFfKhMJ7Jhg1ufY5ouQK1lNlTFfHRRxP7AZcBu+ZzvAB9oriB1jNsNVTEfKtOJbNjgSpJUp4glwF8CP5XPeYLsutuNzRUlSVI32OBKklSv32Xr8W7vaqgWSZI6xQZXkqS6RPSA3ynMOZeULmuqHEmSusYGtz4/bLoAtZbZUBXz0RURrwA+U5hzNfDRhqpRt7ndUBXzoTKdyIYNbn1uaLoAtZbZUBXz0QXZTaWuBPbO5/wT8EuktKmxmtRlbjdUxXyoTCeyYYNbnzc3XYBay2yoivkYdxG7ApcCR+RzNgLvIKUfN1eUOs7thqqYD5XpRDYipdR0DZIkdVNEABcC7y3MXUVKnx/BU6eUUuzo80iS1CUewa1Jv98/veka1E5mQ1XMx9j7beY2tx8ZRXMrVXG7oSrmQ2W6kg0b3Prs0nQBai2zoSrmY1xld0z+L4U5fw78YUPVaLK43VAV86EynciGDa4kSaMWcRzwl8DMKcTXA6vxuiBJkhaVDa4kSaMUcQTwN8Be+Zx1ZDeVeqa5oiRJmgw2uJIkjUrEwcCXgQPzOY8CP0dKjzRXlCRJk8MGtz7XNl2AWstsqIr5GBcR+wJfAn4qn7MReDsp3dlcUZpQbjdUxXyoTCeyYYNbn5c1XYBay2yoivkYBxG7AZcDx+RzNgHvIqVvNleUJpjbDVUxHyrTiWzY4NbnR00XoNYyG6piPtouYmfgL4CTCnPPJKWrmilIcruhSuZDZTqRDRvc+ixtugC1ltlQFfPRZhFLgD8DVhXmfpiUPtVQRRK43VA186EynciGDW59Xt10AWots6Eq5qOtInYCPgm8pzD3j4HzmilI2sLthqqYD5XpRDZscCVJWqiIAP478OuFuRcCv+1Yt5IkNccGV5Kkhcia2/8K/EZh7sXA2aS0uZmiJEkS2OBKkjR/WXP7h8AHCnP/Gnivza0kSc3buekCJsiDTReg1jIbqmI+2iK75vbjwL8vzL0M+GVS2tRMUdJQbjdUxXyoTCeyYYNbn1uaLkCtZTZUxXy0QXa35E8y95rbK4BfJKXnmilKKuV2Q1XMh8p0IhueolyfE5suQK1lNlTFfDQtG+f2YuY2t5cAq0jp2WaKkiq53VAV86EynchGeLNHSZJKROwK/BXwC4W5f052ze3zzRSViYiUUooma5AkqW08gluTfr+/suka1E5mQ1XMR4Mi9gauYm5zewHw75pubqUqbjdUxXyoTFeyYYNbH/+tVcZsqIr5aELEwcB1wKmFuR8H3ufdkjUG3G6oivlQmU5koxN/hCRJIxNxBPANYHlh7hTwQbyuR5KkVvMuypIkzYg4AfgCcEA+ZxNwNild1FxRkiRpvmxwJUkCiHgH8BfAnvmcjcC7SOmq5oqSJEkL4SnK9bm66QLUWmZDVczHYosIIj4CXMZsc/tj4GSbW40ptxuqYj5UphPZsMGtz2FNF6DWMhuqYj4WU8TuwGeA3y/MvQd4Ayn9fTNFSTvM7YaqmA+V6UQ2RtbgRsSyiDgnIlbkX5dWrLs8Ilbn610SEcsKy86LiBQRj0bENcVlY+6BpgtQa5kNVTEfiyXiIOBvgX9bmHsdcCIp3dVITdJouN1QFfOhMp3Ixiivwb0kpXQcQETcCFwInDG4Ut74Hp9SWpM/XgFcw+wnBt/u6MD1BwHrmy5CrWQ2VMV8LIaIE4FLgZcW5l4IvJ+Unm2mKGlk3G6oivlQmU5kYyQNbkQsp/CPkVLakDeuwywDPgSsyR/fCCyLiKUppQ0L+J2rgdUAy5Ytu+L888//7sAq9wG3A68FbgCGDVz8ReBo4PvAy4AjB5bfk0+vAm4BTh/yHFfmv+MOsiZ98ND+P5J9GvL2fr9/L/C2Ic9xOXBi/juOBg4dWH4n8FBe4z3AaQPLN/d6vcv7/f4b87/1tcx90wbwXWAD8KK8nlMGlj/X6/Wu7Pf7JwFfzes5ZGCd24CngKV5PScNLH+61+t9sd/vn9zr9b6S1/OigXVuIrsr6Z55PW8cWP5Er9e7uvAcJwH7D6zzLWAJWX6fAl4/sPyxXq93bb/ff0uv1/vbfr9/CrDvwDrfzGt4Pq/nhIHl63u93nWFOk4DXjCwzvX5v8VTeT3HDSz/Ua/Xu77wHG8Ddh9Y5zpgRb/f35DXc8zA8h+S/Z++Oa/ndGCXgXWuJcvGj/J6Xj2w/EGybJ2Y17OSrc/euJosuw+QbdyOGljettfT4Xk9nX89kX1Q+Hu+nub9ejoo/7cY+np68de/fsPLv/zlPzoQ3k/+Wkqw+aHjjvv0DR/5yJdYsmQP+v0jGY/XE/1+/wR8PYH7p8HX0z79fn8Ti/x6wv1T0di8noBd+v3+Qfh6ghbtn2jH62lZ3q+08vXU6/UuG/JcW4lRDOkXEauA/yOldEZh3j3AqSmldUPW39LM5o3wJSml/fLH5wDryAJwKnDuQhrftur3+++c73+KJovZUBXzMUIRewKfBN5TmPso8Euk9KVmitp+EZE6esaTdpDbDVUxHyrTlWyM6hTlwU9cZgy9DnegYT0LOLPweE2h+V0PXELW6EqStH0iDgc+D7ymMPcW4BdI6d5mipIkSaNW2eDmpwFX3U3rmpTSWrLTkweb2bKmd/D5P5tSunRmXrH5TSndXHGqsyRJ2xbxHuD/Ze5pZ39Gdr3txmaKkiRJi6GywZ25EdQ8bHUacv7zN5f9QN64rssb5Jl5y4ELZ25W1TH3NV2AWstsqIr52F4R+wB/Cry7MPcZssb2omaKkmrhdkNVzIfKdCIbIxkmKG9ktxyxzYf2KTauy4rDBs3clGqmuc2v4YWsUb6gsN4KsrtcdsHtTReg1jIbqmI+tkfEzM2Xis3t3cDP2NxqArjdUBXzoTKdyMbIxsEFzpwZBxdYxdzras8D3gVbmt9rgZvy8W5Tvnzm9OR1+Ri5q8muvS0+zzh7bdMFqLXMhqqYj4WI2IWIjwJfJ7tr/4xPAcupOLNI6hC3G6piPlSmE9kY2Ti4+VHcmTcOaweWnVH4fh2wX8XzrC1bNuZuaLoAtZbZUBXzMV8RrwYuBpYX5j4OnEVKf91MUVIj3G6oivlQmU5kY5RHcFVt2DhSEpgNVTMf2xKxMxEfJht3sdjcfgM41uZWE8jthqqYD5XpRDZGdgRXkqTaRRwFfBo4oTD3GeB3gI+T0qYmypIkSc2wwZUkjZ+IPYCPAB8Cdiks+TbwK6R0ZyN1SZKkRtngSpLGS8SpwP9g7jjtzwFTwH8hpecbqUuSJDXOBleSNB4iDgbOB35xYMnfA6tJ6R/qL0qSJLWJN5mqzxebLkCtZTZUxXxE7ErEB4DvMbe53QCcDbzB5laaw+2GqpgPlelENmxw63N00wWotcyGqkxuPiKCiJ8D/oHsyO2+haV/BbySlC4gpc2N1Ce11+RuNzQf5kNlOpENT1Guz/ebLkCtZTZUZTLzEfEq4OPAaQNL7gZ+k5Suqb8oaWxM5nZD82U+VKYT2fAIbn1e1nQBai2zoSqTlY+IFxPxP4DvMLe5fQz4IPBqm1tpmyZru6GFMh8q04ls2ODW58imC1BrmQ1VmYx8ROxHxB+SfXp8NrAkX7IZuAA4gpTOJ6VnmypRGiOTsd3Q9jIfKtOJbHiKsiSpORF7Af+ebDzbfQeWfgX4ACl9p/a6JEnSWLLBlSTVL2Jv4H1kpx2/aGDpzcCHgWtIKdVdmiRJGl82uJKk+kQsBX4L+A/A/gNL7wZ+B7jUOyNLkqTtYYNbn3uaLkCtZTZUpRv5iDiArKn9LWCfgaUPAr8HfJqUnqu7NKmDurHd0GIxHyrTiWzY4NanE4HRojAbqjLe+Yg4kqyx/VVgj4Gl9wLnAhd78yhppMZ7u6HFZj5UphPZ8C7K9XlV0wWotcyGqoxfPiKCiJOIuAK4i+xa22Jzexfwy8CRpHShza00cuO33VCdzIfKdCIbHsGtzy1NF6DWMhuqMj75iNgdeBfZEdvXDlnjNuAPgM+T0qY6S5MmzPhsN9QE86EynciGR3Drc3rTBai1zIaqtD8fEUcS8UfAPwMXs3VzexVwMvBaUvqcza206Nq/3VCTzIfKdCIbHsGVJC1cxC5ADzgbOGXIGhvJmt1PkNJddZYmSZImlw2uJGn+Il4D/Arwb4GDhqxxH3ABsIaUflxnaZIkSTa4kqRqEQcBv0TW2B4zZI3NZKchfxK42lOQJUlSU2xwJUlbi3gB8HbgPcBbgSVD1voBcBFwESk9UGN1kiRJQ9ng1ufKpgtQa5kNVakvHxF7kTW1Z+RfB8etBXgauJzs+tq1pPR8bfVJmi/3K6piPlSmE9nwLsr1GTZkhgRmQ9UWNx8RexFxBhGXAA8DnwVWsXVz+zXgTOBgUvpFUvqSza3UWu5XVMV8qEwnsuER3Prc0XQBai2zoSqjz0fEy8iGAjgdeAuwW8matwOfA/6SlO4ZeR2SFov7FVUxHyrTiWzY4NbnMOC2potQK5kNVdnxfETsBBzPbFM77EZRM+4ga2ovIaVO7OikCeR+RVXMh8p0Ihs2uPXpRGC0KMyGqmxfPiJeDJyaTysYPqTPjO8Cnydram/fjholtYv7FVUxHyrTiWzY4EpSF2R3Pf5XzDa1r6pY+zngOrKbSVxJSv+02OVJkiTVwQZXksZRxL7AG4A3A28CXgfsUvETjwBfJGtqryalxxe9RkmSpJrZ4ErSOIg4iKyRfRNZU3sMEBU/8SzwdeCafLqFlDYtdpmSJElNssGtzz82XYBay2xorog9gGOBE9+6776n8thjHyO7LmZb/oHZhvZrpPTkIlYpqb3cr6iK+VCZTmTDBrc+DzRdgFrLbEyyiCXAK4AT8ulE4DXk2+fdHnus7Cc3A7cCXyUbo/Z6UvrRYpcraSy4X1EV86EynciGDW59DgduaroItZLZmBQRe5M1r8eSnWJ8LPBqYI95/PSzwLeYbWi/4XW0kkq4X1EV86EynciGDW59HHpDZcxG10TsTHZK8VHATzPb0M7nNOMZdwE3PL/bbjfv/Mwz3wBuI6VnR16rpC5yv6Iq5kNlOpENG9z6vA24rOki1EpmY1xl18q+gqyRPYpsaJ6jgCOovqPxoB8AN5Idob0BuJGUNgB8od9/Z6/X+/Yoy5bUee5XVMV8qEwnsmGDK0lVsiZ2GdlpO4cVvh4BvJzqOxkPeh64k+za2du2TCk9PMKKJUmSJpYNrqTJFrETcDDwL4BD2bqZfcl2PvODZM3s7cw2s3eQ0jM7WrIkSZKGs8GV1G0Re5E1r8OmQ4GXsrDTiYs2A+vIGtk78q93At/zBlCSJEn1s8GVNJ6yOxK/GDhkyFScv+8O/qZNwH3A94F7Cl+z71N6egefX5IkSSNig1ufy5suQK1lNgAidgMOBA7Ivw77/kXMNq57jfC3PwLcTzb+273MbWbvI6XnRvi7Fsp8SFootxuqYj5UphPZsMGtz4nAN5suQq3UnWxEBLAnsBTYL5+K3xcfH8DcBvYFi1TVs2SN6/0l0wOk9OQi/e5R6E4+JNXF7YaqmA+V6UQ2bHDrc0vTBai1ms9G1pjuBuwN7JN/3da0D8Ob2O29nnWhNgI/HJh+MGTeelLaXFNNi6H5fEgaN243VMV8qEwnsmGDW5+jgZuaLkKttO1szDage+bTHoXvq6ay9YY1rE1vD54nO1X44cLXh4c8nmlcHyel1EyptXLbIWmh3G6oivlQmU5ko+k3tJPkUDoQmM7KGsglZEcfi9POQ+YNm7/bkGn3+cw7bf/9X8b69Y9vY909Wdh4q016Bng0nzaUfP8osJ65TexjE9KwLpTbDkkL5XZDVcyHynQiGyNrcCNiGbAKuBlYDqxJKW0oWfc84ByyN7w3AmellNYt9HnGWtZQzUw7Dfk6bF4b112yHdPO2/lzC3n++TSlg/Mbscf69U396kHPAT8ZMj1eMv8nzG1YsyY2pY21Vy5JkiQx2iO4l6SUjgOIiBuBC4EzStb9dkqp7GjUQp6n/SL+BPj1n49YQvY3zzSG0kI9S3bd6VPbmLa1zkbgCQab15SeqfFvkSRJkkZuJA1uRCwnO90QgJTShohY0dTztMzOwG7hmZfjYDPZUcyZ6fmBx1XznwWeJjs9d3CqnP/9lSuPP/zyy7+yjfWfIqXnF/WvlyRJksbcqI7gLiM73bhofUQsmzn1eHD9iFiV/8ypwLn5acjzfp6IWA2szh+uSSmt2eG/YjGkdDZwdkSsbm2NatQREQenlK5rug6108qVKw/w0mSVOKvpAtRObjdUxXyoTFeyMapTZfcvmb+0ZP6alNKlKaW1wGeBSxb6PCmlNSml4/NpHBrH1dteRRPKbKiK+VAZs6EyZkNVzIfKdCIblUdw86Okh1Wsck3epK5n6ya0rFmleNOolNLNhdOQF/Q8kiRJkiTNqGxwF3BkdNhpyKSUbh6cl19ne+HMjaS293kkSZIkSSoaySnKeQO65UhrPtTP2uLjiJg5MrsOuKCwbAVw6XyeZ8yNw2nUaobZUBXzoTJmQ2XMhqqYD5XpRDZiVBcS50dmVzBk/NqIuITsdOY1+eMVZDeUguwU6HML65Y+jyRJkiRJZUbW4EqSJEmS1KRR3UVZkiRJUstFxAXbXksaXx7BlVooIi5IKTnGpaSt5PenWIWX8mhAfpnX8WQjUrwO+FBKaegNPDWZ8oxcm1Lar+la1C4Rsar4OKV0aVO17Cgb3AZ0KUAaPXc+GsY3rpoRETfNjESQ38DxwpTSGQ2XpYblWXjXwP1OLkgpVQ33qAmSZ2QZvsfQgIg4B1iXUro0z8m1JSPejIXKYYI0esMCRH4Xaalwt3FpizwXxw+8cb2G6nHK1UH5Bx3rZx6nlDYUxpLXZFsGfIjZu6DeCCyLiKUe4VduRf7+s+k61D4fnvnQI99ejG1zC16D24QPzxyxTSltGOdPR7QoVjjus4aYeeM6Y8sb14bqUXOWAYPNyvr8tGVNsHzfUXxPcTywweZWsOWD0a4MvakRyrOxLiJWRcSKiDhn3PcpHsGtUTFAZG9QlgOXepqhwJ2PyqWUbo4I37gKCmPFD/DDDjGwTTgLOLOpWtQe+Yeh691nqMQyYPnMAbiIuBG4iTE+S8wGt16dC5CqRcRqqv9/r0kprXXno23xjaty69m6mS1rejWh8n3PZ73Hh3IrYMsN6gCW5hlZ60EWAevyCdhy6cuyiFg2rvmwwR2B+TYxdDBAqjZzzeQ8uPOZQAvYdgz+jG9cJ9fQ7YGXNmjGzNlig9sOTa7B/UVELOT9ibpv2H5lrA+42OCOwAI2Ep0LkEbDnc9kWuj/sW9clZ+uvuWIbf6hmHkQMHsTspkPPCJilR+GaUZ+ttjq/Ptz8DI5ASmldRGxpR/Jc7JunLPhMEE1GzK8w1jfhlujVdj5nEd2UyF3PgK2vHHFN67Ks7ACx8FVQf5hx03MPYV9ncMESdqWfPtxFnAP2ZllF4zz+08b3Jp1LUCSFp9vXCVJkubHBleSJEmS1AmOgytJkiRJ6gQbXEmSJElSJ9jgSpIkSZI6wQZXkiRJktQJNriSJEmSpE6wwZUkSZIkdYINriRJkiSpE/43skomj7DYNsoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#####################################################################################\n",
    "# <codecell> Exponential Linear Units, ELU\n",
    "#####################################################################################\n",
    "\n",
    "a = 0.5\n",
    "\n",
    "elu_func = np.vectorize(lambda x: x if x > 0 else a*(np.exp(x)-1), otypes=[np.float])\n",
    "\n",
    "elu_dfunc = np.vectorize(lambda x: 1 if x > 0 else a*np.exp(x), otypes=[np.float])\n",
    "\n",
    "text  = r\"$ f(x) = \\left\\{\\begin{matrix}\"\n",
    "text += r\"a(e^x-1) & for & x \\leq 0 x \\\\ \"\n",
    "text += r\"x & for & x > 0 \"\n",
    "text += r\"\\end{matrix}\\right. $\"\n",
    "\n",
    "dtext  = r\"$ f(x)' = \\left\\{\\begin{matrix}\"\n",
    "dtext += r\"f(x) + a & for & x \\leq 0 \\\\ \"\n",
    "dtext += r\"1 & for & x > 0 \"\n",
    "dtext += r\"\\end{matrix}\\right.  \\\\ \\\\ \\\\\"\n",
    "dtext += r\"a=%.2f $\" % a\n",
    "\n",
    "display('elu', (-0.5, 1.5),\n",
    "        elu_func, text, 0.6, (1.8, 0.5),\n",
    "        elu_dfunc, dtext, -0.5, (-4.5, 0.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#####################################################################################\n",
    "# <codecell> SoftPlus\n",
    "#####################################################################################\n",
    "\n",
    "def softplus_func(x):\n",
    "    return np.log(1+np.exp(x))\n",
    "\n",
    "def softplus_dfunc(x):\n",
    "    return 1/(1+np.exp(-x))\n",
    "\n",
    "text = r\"$ f(x) = ln(1 + e^x) $\"\n",
    "\n",
    "dtext = r\"$ f(x)' = \\dfrac{1}{1 + e^{-x}} $\"\n",
    "\n",
    "display('softplus', (-0.5, 1.5),\n",
    "        softplus_func, text, 0.6, (1.8, 0.5),\n",
    "        softplus_dfunc, dtext, -2.0, (-3.2, 0.5))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
